16317153792 has 360 divisors, whose sum is σ = 52716225276. Its totient is φ = 4841275392.

The previous prime is 16317153791. The next prime is 16317153817. The reversal of 16317153792 is 29735171361.

16317153792 is a `hidden beast` number, since 1 + 631 + 7 + 1 + 5 + 3 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12583454976 + 3733698816 = 112176^2 + 61104^2 .

It is a super-3 number, since 3×16317153792³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16317153791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28279008 + ... + 28279584.

Almost surely, 2^16317153792 is an apocalyptic number.

16317153792 is a gapful number since it is divisible by the number (12) 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 16317153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358112638).

16317153792 is an abundant number, since it is smaller than the sum of its proper divisors (36399071484).

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

16317153792 is a wasteful number, since it uses less digits than its factorization.

16317153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 618 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 16317153792 in words is "sixteen billion, three hundred seventeen million, one hundred fifty-three thousand, seven hundred ninety-two".