15506346046464 has 1056 divisors, whose sum is σ = 57374651233536. Its totient is φ = 4073359933440.

The previous prime is 15506346046447. The next prime is 15506346046501. The reversal of 15506346046464 is 46464064360551.

15506346046464 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 63 + 4 + 60 + 464 + 64 = 666.

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 15506346046464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6362881854 + ... + 6362884290.

Almost surely, 2^{15506346046464} is an apocalyptic number.

15506346046464 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 15506346046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687325616768).

15506346046464 is an abundant number, since it is smaller than the sum of its proper divisors (41868305187072).

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

15506346046464 is a wasteful number, since it uses less digits than its factorization.

15506346046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 15506346046464 in words is "fifteen trillion, five hundred six billion, three hundred forty-six million, forty-six thousand, four hundred sixty-four".