11515468032 has 90 divisors (see below), whose sum is σ = 34337103878. Its totient is φ = 3838482432.

The previous prime is 11515468031. The next prime is 11515468037. The reversal of 11515468032 is 23086451511.

11515468032 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 546 + 80 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11324365056 + 191102976 = 106416^2 + 13824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11515468031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 256933 + ... + 298404.

Almost surely, 2^11515468032 is an apocalyptic number.

11515468032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11515468032 is an abundant number, since it is smaller than the sum of its proper divisors (22821635846).

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

11515468032 is an frugal number, since it uses more digits than its factorization.

11515468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555365 (or 555342 counting only the distinct ones).

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

The spelling of 11515468032 in words is "eleven billion, five hundred fifteen million, four hundred sixty-eight thousand, thirty-two".