12793954656 has 384 divisors, whose sum is σ = 41845579776. Its totient is φ = 3340247040.

The previous prime is 12793954637. The next prime is 12793954697. The reversal of 12793954656 is 65645939721.

It is a junction number, because it is equal to n+sod(n) for n = 12793954596 and 12793954605.

It is a congruent number.

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, 97663711 + ... + 97663841.

It is an arithmetic number, because the mean of its divisors is an integer number (108972864).

Almost surely, 2^12793954656 is an apocalyptic number.

12793954656 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 12793954656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922789888).

12793954656 is an abundant number, since it is smaller than the sum of its proper divisors (29051625120).

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

12793954656 is a wasteful number, since it uses less digits than its factorization.

12793954656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The spelling of 12793954656 in words is "twelve billion, seven hundred ninety-three million, nine hundred fifty-four thousand, six hundred fifty-six".