12556264464 has 160 divisors (see below), whose sum is σ = 38247552000. Its totient is φ = 3930310656.

The previous prime is 12556264429. The next prime is 12556264471. The reversal of 12556264464 is 46446265521.

12556264464 is a `hidden beast` number, since 1 + 25 + 562 + 6 + 4 + 4 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3736417 + ... + 3739775.

It is an arithmetic number, because the mean of its divisors is an integer number (239047200).

Almost surely, 2^12556264464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12556264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

12556264464 is an abundant number, since it is smaller than the sum of its proper divisors (25691287536).

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

12556264464 is a wasteful number, since it uses less digits than its factorization.

12556264464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3890 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 12556264464 in words is "twelve billion, five hundred fifty-six million, two hundred sixty-four thousand, four hundred sixty-four".