12749392656 has 320 divisors, whose sum is σ = 49136855040. Its totient is φ = 3056693760.

The previous prime is 12749392571. The next prime is 12749392693. The reversal of 12749392656 is 65629394721.

12749392656 is a `hidden beast` number, since 1 + 2 + 7 + 493 + 92 + 65 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 417691 + ... + 447173.

It is an arithmetic number, because the mean of its divisors is an integer number (153552672).

Almost surely, 2^12749392656 is an apocalyptic number.

12749392656 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 12749392656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

12749392656 is an abundant number, since it is smaller than the sum of its proper divisors (36387462384).

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

12749392656 is a wasteful number, since it uses less digits than its factorization.

12749392656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29531 (or 29519 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 12749392656 in words is "twelve billion, seven hundred forty-nine million, three hundred ninety-two thousand, six hundred fifty-six".