11364008832 has 256 divisors, whose sum is σ = 38516832000. Its totient is φ = 3262187520.

The previous prime is 11364008791. The next prime is 11364008867. The reversal of 11364008832 is 23880046311.

11364008832 is a `hidden beast` number, since 1 + 1 + 3 + 640 + 0 + 8 + 8 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 714438 + ... + 730170.

It is an arithmetic number, because the mean of its divisors is an integer number (150456375).

Almost surely, 2^11364008832 is an apocalyptic number.

11364008832 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 11364008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19258416000).

11364008832 is an abundant number, since it is smaller than the sum of its proper divisors (27152823168).

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

11364008832 is a wasteful number, since it uses less digits than its factorization.

11364008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15786 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11364008832 in words is "eleven billion, three hundred sixty-four million, eight thousand, eight hundred thirty-two".