16890309074016 has 108 divisors (see below), whose sum is σ = 55873745688852. Its totient is φ = 4825802588544.

The previous prime is 16890309073999. The next prime is 16890309074033. The reversal of 16890309074016 is 61047090309861.

16890309074016 is a `hidden beast` number, since 1 + 68 + 90 + 3 + 0 + 90 + 7 + 401 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16890309073999) and next prime (16890309074033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 598423710 + ... + 598451933.

It is an arithmetic number, because the mean of its divisors is an integer number (517349497119).

Almost surely, 2^{16890309074016} is an apocalyptic number.

16890309074016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16890309074016 is an abundant number, since it is smaller than the sum of its proper divisors (38983436614836).

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

16890309074016 is a wasteful number, since it uses less digits than its factorization.

16890309074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196875673 (or 1196875655 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 16890309074016 in words is "sixteen trillion, eight hundred ninety billion, three hundred nine million, seventy-four thousand, sixteen".