31238362978641 has 243 divisors, whose sum is σ = 57983915618811. Its totient is φ = 16151420271168.

The previous prime is 31238362978621. The next prime is 31238362978703. The reversal of 31238362978641 is 14687926383213.

It is a happy number.

The square root of 31238362978641 is 5589129.

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

31238362978641 is a `hidden beast` number, since 3 + 1 + 238 + 36 + 297 + 86 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4621059612225 + 26617303366416 = 2149665^2 + 5159196^2 .

It is not a de Polignac number, because 31238362978641 - 2¹⁵ = 31238362945873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (31238362978621) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 90024100630 + ... + 90024100976.

Almost surely, 2^{31238362978641} is an apocalyptic number.

31238362978641 is the 5589129-th square number.

31238362978641 is the 2794565-th centered octagonal number.

It is an amenable number.

31238362978641 is a deficient number, since it is larger than the sum of its proper divisors (26745552640170).

31238362978641 is an equidigital number, since it uses as much as digits as its factorization.

31238362978641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 31238362978641 in words is "thirty-one trillion, two hundred thirty-eight billion, three hundred sixty-two million, nine hundred seventy-eight thousand, six hundred forty-one".