16457808160 has 48 divisors (see below), whose sum is σ = 39225699576. Its totient is φ = 6524858368.

The previous prime is 16457808149. The next prime is 16457808163. The reversal of 16457808160 is 6180875461.

16457808160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5033618704 + 11424189456 = 70948^2 + 106884^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16457808160.

It is not an unprimeable number, because it can be changed into a prime (16457808163) 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 7 ways as a sum of consecutive naturals, for example, 437059 + ... + 473218.

Almost surely, 2^16457808160 is an apocalyptic number.

16457808160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16457808160 is an abundant number, since it is smaller than the sum of its proper divisors (22767891416).

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

16457808160 is a wasteful number, since it uses less digits than its factorization.

16457808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910405 (or 910397 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 16457808160 in words is "sixteen billion, four hundred fifty-seven million, eight hundred eight thousand, one hundred sixty".