11381607504 has 30 divisors (see below), whose sum is σ = 31852693626. Its totient is φ = 3793869120.

The previous prime is 11381607439. The next prime is 11381607511. The reversal of 11381607504 is 40570618311.

11381607504 is a `hidden beast` number, since 1 + 13 + 81 + 60 + 7 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10367312400 + 1014295104 = 101820^2 + 31848^2 .

It is a super-2 number, since 2×11381607504² (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 39519327 + ... + 39519614.

Almost surely, 2^11381607504 is an apocalyptic number.

It is an amenable number.

11381607504 is an abundant number, since it is smaller than the sum of its proper divisors (20471086122).

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

11381607504 is a wasteful number, since it uses less digits than its factorization.

11381607504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79038955 (or 79038946 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11381607504 in words is "eleven billion, three hundred eighty-one million, six hundred seven thousand, five hundred four".