12907631498256 has 480 divisors, whose sum is σ = 42115800130560. Its totient is φ = 3649000320000.

The previous prime is 12907631498227. The next prime is 12907631498257. The reversal of 12907631498256 is 65289413670921.

12907631498256 is a `hidden beast` number, since 1 + 2 + 90 + 7 + 6 + 3 + 1 + 498 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12907631498193 and 12907631498202.

It is not an unprimeable number, because it can be changed into a prime (12907631498257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074845226 + ... + 2074851446.

It is an arithmetic number, because the mean of its divisors is an integer number (87741250272).

It is a 1-persistent number, because it is pandigital, but 2⋅12907631498256 = 25815262996512 is not.

Almost surely, 2^{12907631498256} is an apocalyptic number.

12907631498256 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 12907631498256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21057900065280).

12907631498256 is an abundant number, since it is smaller than the sum of its proper divisors (29208168632304).

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

12907631498256 is a wasteful number, since it uses less digits than its factorization.

12907631498256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 12907631498256 in words is "twelve trillion, nine hundred seven billion, six hundred thirty-one million, four hundred ninety-eight thousand, two hundred fifty-six".