11412515664 has 120 divisors (see below), whose sum is σ = 34893248832. Its totient is φ = 3453327360.

The previous prime is 11412515651. The next prime is 11412515683. The reversal of 11412515664 is 46651521411.

11412515664 is a `hidden beast` number, since 1 + 1 + 41 + 2 + 51 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172064 + ... + 1181760.

Almost surely, 2^11412515664 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 11412515664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446624416).

11412515664 is an abundant number, since it is smaller than the sum of its proper divisors (23480733168).

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

11412515664 is a wasteful number, since it uses less digits than its factorization.

11412515664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10456 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

It can be divided in two parts, 11412 and 515664, that added together give a square (527076 = 726²).

The spelling of 11412515664 in words is "eleven billion, four hundred twelve million, five hundred fifteen thousand, six hundred sixty-four".