13182863904 has 72 divisors (see below), whose sum is σ = 42844314240. Its totient is φ = 3766531968.

The previous prime is 13182863873. The next prime is 13182863923. The reversal of 13182863904 is 40936828131.

13182863904 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 2 + 8 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13182863904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13182863904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3267544 + ... + 3271575.

It is an arithmetic number, because the mean of its divisors is an integer number (595059920).

Almost surely, 2^13182863904 is an apocalyptic number.

13182863904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13182863904 is an abundant number, since it is smaller than the sum of its proper divisors (29661450336).

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

13182863904 is a wasteful number, since it uses less digits than its factorization.

13182863904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539142 (or 6539131 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13182863904 in words is "thirteen billion, one hundred eighty-two million, eight hundred sixty-three thousand, nine hundred four".