16918964000 has 48 divisors (see below), whose sum is σ = 41569904376. Its totient is φ = 6767584000.

The previous prime is 16918963993. The next prime is 16918964021. The reversal of 16918964000 is 46981961.

16918964000 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 1050019216 + 15868944784 = 32404^2 + 125972^2 .

It is an unprimeable number.

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, 2110871 + ... + 2118870.

Almost surely, 2^16918964000 is an apocalyptic number.

16918964000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16918964000 is an abundant number, since it is smaller than the sum of its proper divisors (24650940376).

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

16918964000 is an equidigital number, since it uses as much as digits as its factorization.

16918964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229766 (or 4229748 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 16918964000 in words is "sixteen billion, nine hundred eighteen million, nine hundred sixty-four thousand".