931933444689 has 135 divisors (see below), whose sum is σ = 1556295755553. Its totient is φ = 555495340608.

The previous prime is 931933444643. The next prime is 931933444693. The reversal of 931933444689 is 986444339139.

The square root of 931933444689 is 965367.

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

931933444689 is a `hidden beast` number, since 93 + 1 + 93 + 344 + 46 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3870955089 + 928062489600 = 62217^2 + 963360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-931933444689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (931933444639) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4179073632 + ... + 4179073854.

Almost surely, 2^931933444689 is an apocalyptic number.

931933444689 is the 965367-th square number.

931933444689 is the 482684-th centered octagonal number.

It is an amenable number.

931933444689 is a deficient number, since it is larger than the sum of its proper divisors (624362310864).

931933444689 is an equidigital number, since it uses as much as digits as its factorization.

931933444689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 276 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 931933444689 in words is "nine hundred thirty-one billion, nine hundred thirty-three million, four hundred forty-four thousand, six hundred eighty-nine".