916190134272 has 840 divisors, whose sum is σ = 3313028818176. Its totient is φ = 246650241024.

The previous prime is 916190134259. The next prime is 916190134357. The reversal of 916190134272 is 272431091619.

916190134272 is a `hidden beast` number, since 9 + 1 + 619 + 0 + 1 + 3 + 4 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13674479583 + ... + 13674479649.

Almost surely, 2^916190134272 is an apocalyptic number.

916190134272 is a gapful number since it is divisible by the number (92) 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 916190134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656514409088).

916190134272 is an abundant number, since it is smaller than the sum of its proper divisors (2396838683904).

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

916190134272 is an frugal number, since it uses more digits than its factorization.

916190134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 916190134272 in words is "nine hundred sixteen billion, one hundred ninety million, one hundred thirty-four thousand, two hundred seventy-two".