197116416 has 300 divisors, whose sum is σ = 691451838. Its totient is φ = 55738368.

The previous prime is 197116391. The next prime is 197116441. The reversal of 197116416 is 614611791.

197116416 = 113³ + 114³ + ... + 175³.

197116416 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 1 + 641 + 6 = 666.

197116416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (197116391) and next prime (197116441).

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 25401600 = 13104^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2032080 + ... + 2032176.

Almost surely, 2^197116416 is an apocalyptic number.

197116416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345725919).

197116416 is an abundant number, since it is smaller than the sum of its proper divisors (494335422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197116416 is an frugal number, since it uses more digits than its factorization.

197116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 197116416 is about 14039.8153834016. The cubic root of 197116416 is about 581.9793807128.

The spelling of 197116416 in words is "one hundred ninety-seven million, one hundred sixteen thousand, four hundred sixteen".