16457135904 has 384 divisors, whose sum is σ = 55390003200. Its totient is φ = 4704860160.

The previous prime is 16457135897. The next prime is 16457135921. The reversal of 16457135904 is 40953175461.

16457135904 is a `hidden beast` number, since 1 + 6 + 4 + 57 + 1 + 3 + 590 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16457135904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17268292 + ... + 17269244.

It is an arithmetic number, because the mean of its divisors is an integer number (144244800).

Almost surely, 2^16457135904 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 16457135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27695001600).

16457135904 is an abundant number, since it is smaller than the sum of its proper divisors (38932867296).

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

16457135904 is a wasteful number, since it uses less digits than its factorization.

16457135904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 16457135904 in words is "sixteen billion, four hundred fifty-seven million, one hundred thirty-five thousand, nine hundred four".