11338088832 has 768 divisors, whose sum is σ = 42195686400. Its totient is φ = 2980454400.

The previous prime is 11338088819. The next prime is 11338088837. The reversal of 11338088832 is 23888083311.

11338088832 is a `hidden beast` number, since 113 + 380 + 88 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338088837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159691357 + ... + 159691427.

It is an arithmetic number, because the mean of its divisors is an integer number (54942300).

Almost surely, 2^11338088832 is an apocalyptic number.

11338088832 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 11338088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200).

11338088832 is an abundant number, since it is smaller than the sum of its proper divisors (30857597568).

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

11338088832 is a wasteful number, since it uses less digits than its factorization.

11338088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11338088832 in words is "eleven billion, three hundred thirty-eight million, eighty-eight thousand, eight hundred thirty-two".