36307987923321 has 45 divisors (see below), whose sum is σ = 53441712967071. Its totient is φ = 23753826249984.

The previous prime is 36307987923299. The next prime is 36307987923331. The reversal of 36307987923321 is 12332978970363.

The square root of 36307987923321 is 6025611.

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

36307987923321 is a `hidden beast` number, since 3 + 6 + 307 + 9 + 8 + 79 + 233 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36056722325625 + 251265597696 = 6004725^2 + 501264^2 .

It is not a de Polignac number, because 36307987923321 - 2¹⁷ = 36307987792249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36307987923331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62925455385 + ... + 62925455961.

Almost surely, 2^{36307987923321} is an apocalyptic number.

36307987923321 is the 6025611-st square number.

36307987923321 is the 3012806-th centered octagonal number.

It is an amenable number.

36307987923321 is a deficient number, since it is larger than the sum of its proper divisors (17133725043750).

36307987923321 is an frugal number, since it uses more digits than its factorization.

36307987923321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 36307987923321 in words is "thirty-six trillion, three hundred seven billion, nine hundred eighty-seven million, nine hundred twenty-three thousand, three hundred twenty-one".