12622976188416 has 544 divisors, whose sum is σ = 41038099415040. Its totient is φ = 3802949222400.

The previous prime is 12622976188357. The next prime is 12622976188423. The reversal of 12622976188416 is 61488167922621.

It is a happy number.

12622976188416 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 2 + 9 + 7 + 618 + 8 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3523016961 + ... + 3523020543.

Almost surely, 2^{12622976188416} is an apocalyptic number.

12622976188416 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 12622976188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519049707520).

12622976188416 is an abundant number, since it is smaller than the sum of its proper divisors (28415123226624).

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

12622976188416 is an equidigital number, since it uses as much as digits as its factorization.

12622976188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3780 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 12622976188416 in words is "twelve trillion, six hundred twenty-two billion, nine hundred seventy-six million, one hundred eighty-eight thousand, four hundred sixteen".