11611328832 has 224 divisors, whose sum is σ = 35752796160. Its totient is φ = 3688312320.

The previous prime is 11611328819. The next prime is 11611328843. The reversal of 11611328832 is 23882311611.

11611328832 is a `hidden beast` number, since 1 + 1 + 611 + 3 + 2 + 8 + 8 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18401157 + ... + 18401787.

Almost surely, 2^11611328832 is an apocalyptic number.

11611328832 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 11611328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17876398080).

11611328832 is an abundant number, since it is smaller than the sum of its proper divisors (24141467328).

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

11611328832 is a wasteful number, since it uses less digits than its factorization.

11611328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 11611328832 in words is "eleven billion, six hundred eleven million, three hundred twenty-eight thousand, eight hundred thirty-two".