12415616564364 has 360 divisors, whose sum is σ = 37083784465728. Its totient is φ = 3598454522880.

The previous prime is 12415616564341. The next prime is 12415616564387. The reversal of 12415616564364 is 46346561651421.

12415616564364 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 5 + 6 + 16 + 564 + 3 + 64 = 666.

12415616564364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12415616564341) and next prime (12415616564387).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12415616564364.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145191229 + ... + 145276715.

Almost surely, 2^{12415616564364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12415616564364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541892232864).

12415616564364 is an abundant number, since it is smaller than the sum of its proper divisors (24668167901364).

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

12415616564364 is a wasteful number, since it uses less digits than its factorization.

12415616564364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85615 (or 85575 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 12415616564364 in words is "twelve trillion, four hundred fifteen billion, six hundred sixteen million, five hundred sixty-four thousand, three hundred sixty-four".