16346638636965 has 192 divisors, whose sum is σ = 36946046592000. Its totient is φ = 6488316076032.

The previous prime is 16346638636957. The next prime is 16346638636973. The reversal of 16346638636965 is 56963683664361.

16346638636965 is a `hidden beast` number, since 16 + 3 + 466 + 3 + 8 + 63 + 6 + 96 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (16346638636957) and next prime (16346638636973).

It is not a de Polignac number, because 16346638636965 - 2³ = 16346638636957 is a prime.

It is a super-2 number, since 2×16346638636965² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16346638636893 and 16346638636902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118903336 + ... + 119040734.

It is an arithmetic number, because the mean of its divisors is an integer number (192427326000).

Almost surely, 2^{16346638636965} is an apocalyptic number.

16346638636965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16346638636965 is an abundant number, since it is smaller than the sum of its proper divisors (20599407955035).

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

16346638636965 is a wasteful number, since it uses less digits than its factorization.

16346638636965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139156 (or 139153 counting only the distinct ones).

The product of its digits is 1813985280, while the sum is 72.

The spelling of 16346638636965 in words is "sixteen trillion, three hundred forty-six billion, six hundred thirty-eight million, six hundred thirty-six thousand, nine hundred sixty-five".