11381564232 has 128 divisors (see below), whose sum is σ = 32002867200. Its totient is φ = 3747643200.

The previous prime is 11381564219. The next prime is 11381564239. The reversal of 11381564232 is 23246518311.

11381564232 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 1 + 5 + 642 + 3 + 2 = 666.

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 (11381564239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7433307 + ... + 7434837.

It is an arithmetic number, because the mean of its divisors is an integer number (250022400).

Almost surely, 2^11381564232 is an apocalyptic number.

11381564232 is a gapful number since it is divisible by the number (12) 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 11381564232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001433600).

11381564232 is an abundant number, since it is smaller than the sum of its proper divisors (20621302968).

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

11381564232 is a wasteful number, since it uses less digits than its factorization.

11381564232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1934 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 11381564232 in words is "eleven billion, three hundred eighty-one million, five hundred sixty-four thousand, two hundred thirty-two".