36831751056 has 105 divisors (see below), whose sum is σ = 107053575681. Its totient is φ = 12270341376.

The previous prime is 36831751001. The next prime is 36831751087. The reversal of 36831751056 is 65015713863.

The square root of 36831751056 is 191916.

It is a perfect power (a square), and thus also a powerful number.

36831751056 is a `hidden beast` number, since 3 + 6 + 83 + 1 + 7 + 510 + 56 = 666.

36831751056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18665024400 + 18166726656 = 136620^2 + 134784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20726040 + ... + 20727816.

Almost surely, 2^36831751056 is an apocalyptic number.

36831751056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36831751056 is the 191916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36831751056

36831751056 is an abundant number, since it is smaller than the sum of its proper divisors (70221824625).

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

36831751056 is an frugal number, since it uses more digits than its factorization.

36831751056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 36831751056 in words is "thirty-six billion, eight hundred thirty-one million, seven hundred fifty-one thousand, fifty-six".