12707974656 has 400 divisors, whose sum is σ = 41438587344. Its totient is φ = 3869835264.

The previous prime is 12707974637. The next prime is 12707974661. The reversal of 12707974656 is 65647970721.

It is a super-2 number, since 2×12707974656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131010000 + ... + 131010096.

Almost surely, 2^12707974656 is an apocalyptic number.

12707974656 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 12707974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20719293672).

12707974656 is an abundant number, since it is smaller than the sum of its proper divisors (28730612688).

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

12707974656 is an frugal number, since it uses more digits than its factorization.

12707974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 12707974656 in words is "twelve billion, seven hundred seven million, nine hundred seventy-four thousand, six hundred fifty-six".