12641552504 has 32 divisors (see below), whose sum is σ = 27142322400. Its totient is φ = 5407152000.

The previous prime is 12641552471. The next prime is 12641552533. The reversal of 12641552504 is 40525514621.

It is a super-2 number, since 2×12641552504² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193247 + ... + 250254.

It is an arithmetic number, because the mean of its divisors is an integer number (848197575).

Almost surely, 2^12641552504 is an apocalyptic number.

12641552504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12641552504 is an abundant number, since it is smaller than the sum of its proper divisors (14500769896).

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

12641552504 is a wasteful number, since it uses less digits than its factorization.

12641552504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444023 (or 444019 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 12641552504 in words is "twelve billion, six hundred forty-one million, five hundred fifty-two thousand, five hundred four".