13982007901608 has 64 divisors (see below), whose sum is σ = 39742141348800. Its totient is φ = 4552281639360.

The previous prime is 13982007901469. The next prime is 13982007901627. The reversal of 13982007901608 is 80610970028931.

13982007901608 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 20 + 0 + 7 + 9 + 0 + 1 + 608 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752682783 + ... + 752701358.

It is an arithmetic number, because the mean of its divisors is an integer number (620970958575).

Almost surely, 2^{13982007901608} is an apocalyptic number.

13982007901608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13982007901608 is an abundant number, since it is smaller than the sum of its proper divisors (25760133447192).

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

13982007901608 is a wasteful number, since it uses less digits than its factorization.

13982007901608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505384199 (or 1505384189 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13982007901608 in words is "thirteen trillion, nine hundred eighty-two billion, seven million, nine hundred one thousand, six hundred eight".