816144912 has 240 divisors, whose sum is σ = 2617243200. Its totient is φ = 235146240.

The previous prime is 816144907. The next prime is 816144919. The reversal of 816144912 is 219441618.

816144912 is a `hidden beast` number, since 8 + 161 + 4 + 491 + 2 = 666.

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.

It is not an unprimeable number, because it can be changed into a prime (816144919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5006943 + ... + 5007105.

It is an arithmetic number, because the mean of its divisors is an integer number (10905180).

Almost surely, 2^816144912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816144912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308621600).

816144912 is an abundant number, since it is smaller than the sum of its proper divisors (1801098288).

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

816144912 is a wasteful number, since it uses less digits than its factorization.

816144912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 816144912 is about 28568.2500689139. The cubic root of 816144912 is about 934.5210591044.

The spelling of 816144912 in words is "eight hundred sixteen million, one hundred forty-four thousand, nine hundred twelve".