12904523014656 has 1920 divisors, whose sum is σ = 47380924926720. Its totient is φ = 3082108796928.

The previous prime is 12904523014627. The next prime is 12904523014657. The reversal of 12904523014656 is 65641032540921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12904523014657) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50212151680 + ... + 50212151936.

It is an arithmetic number, because the mean of its divisors is an integer number (24677565066).

Almost surely, 2^{12904523014656} is an apocalyptic number.

12904523014656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12904523014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690462463360).

12904523014656 is an abundant number, since it is smaller than the sum of its proper divisors (34476401912064).

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

12904523014656 is a wasteful number, since it uses less digits than its factorization.

12904523014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 12904523014656 in words is "twelve trillion, nine hundred four billion, five hundred twenty-three million, fourteen thousand, six hundred fifty-six".