191144448 has 200 divisors, whose sum is σ = 623866320. Its totient is φ = 57784320.

The previous prime is 191144411. The next prime is 191144453. The reversal of 191144448 is 844441191.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455983 + ... + 456401.

Almost surely, 2^191144448 is an apocalyptic number.

191144448 is a gapful number since it is divisible by the number (18) 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 191144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311933160).

191144448 is an abundant number, since it is smaller than the sum of its proper divisors (432721872).

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

191144448 is an equidigital number, since it uses as much as digits as its factorization.

191144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 191144448 is about 13825.4999186286. The cubic root of 191144448 is about 576.0416636529.

The spelling of 191144448 in words is "one hundred ninety-one million, one hundred forty-four thousand, four hundred forty-eight".