12676818100464 has 960 divisors, whose sum is σ = 46423421091840. Its totient is φ = 3145069762560.

The previous prime is 12676818100459. The next prime is 12676818100489. The reversal of 12676818100464 is 46400181867621.

12676818100464 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 68 + 18 + 100 + 464 = 666.

12676818100464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12676818100464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1406499222 + ... + 1406508234.

It is an arithmetic number, because the mean of its divisors is an integer number (48357730304).

Almost surely, 2^{12676818100464} is an apocalyptic number.

12676818100464 is a gapful number since it is divisible by the number (14) 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 12676818100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211710545920).

12676818100464 is an abundant number, since it is smaller than the sum of its proper divisors (33746602991376).

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

12676818100464 is a wasteful number, since it uses less digits than its factorization.

12676818100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12676818100464 in words is "twelve trillion, six hundred seventy-six billion, eight hundred eighteen million, one hundred thousand, four hundred sixty-four".