36331131045888 has 960 divisors, whose sum is σ = 130063869936000. Its totient is φ = 9884419227648.

The previous prime is 36331131045841. The next prime is 36331131045893. The reversal of 36331131045888 is 88854013113363.

36331131045888 is a `hidden beast` number, since 3 + 6 + 3 + 31 + 13 + 10 + 4 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2458286883 + ... + 2458301661.

It is an arithmetic number, because the mean of its divisors is an integer number (135483197850).

Almost surely, 2^{36331131045888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36331131045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65031934968000).

36331131045888 is an abundant number, since it is smaller than the sum of its proper divisors (93732738890112).

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

36331131045888 is a wasteful number, since it uses less digits than its factorization.

36331131045888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14922 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 36331131045888 in words is "thirty-six trillion, three hundred thirty-one billion, one hundred thirty-one million, forty-five thousand, eight hundred eighty-eight".