916893315072 has 624 divisors, whose sum is σ = 3177384570880. Its totient is φ = 249230131200.

The previous prime is 916893315071. The next prime is 916893315073. The reversal of 916893315072 is 270513398619.

916893315072 is a `hidden beast` number, since 9 + 16 + 8 + 93 + 31 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (916893315071) and next prime (916893315073).

It is not an unprimeable number, because it can be changed into a prime (916893315071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487967829 + ... + 487969707.

Almost surely, 2^916893315072 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 916893315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588692285440).

916893315072 is an abundant number, since it is smaller than the sum of its proper divisors (2260491255808).

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

916893315072 is a wasteful number, since it uses less digits than its factorization.

916893315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 916893315072 in words is "nine hundred sixteen billion, eight hundred ninety-three million, three hundred fifteen thousand, seventy-two".