13680908593967 has 16 divisors (see below), whose sum is σ = 13800402799200. Its totient is φ = 13561804943232.

The previous prime is 13680908593939. The next prime is 13680908593993. The reversal of 13680908593967 is 76939580908631.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13680908593967 - 2⁶ = 13680908593903 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13680908593894 and 13680908593903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680908593067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194952428 + ... + 195022590.

It is an arithmetic number, because the mean of its divisors is an integer number (862525174950).

Almost surely, 2^{13680908593967} is an apocalyptic number.

13680908593967 is a deficient number, since it is larger than the sum of its proper divisors (119494205233).

13680908593967 is a wasteful number, since it uses less digits than its factorization.

13680908593967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72922.

The product of its (nonzero) digits is 529079040, while the sum is 74.

The spelling of 13680908593967 in words is "thirteen trillion, six hundred eighty billion, nine hundred eight million, five hundred ninety-three thousand, nine hundred sixty-seven".