31774314670641 has 33 divisors (see below), whose sum is σ = 47663257672011. Its totient is φ = 21181963273992.

The previous prime is 31774314670627. The next prime is 31774314670661. The reversal of 31774314670641 is 14607641347713.

The square root of 31774314670641 is 5636871.

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

31774314670641 is a `hidden beast` number, since 3 + 177 + 4 + 3 + 1 + 467 + 0 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 461292264225 + 31313022406416 = 679185^2 + 5595804^2 .

It is not a de Polignac number, because 31774314670641 - 2¹⁹ = 31774314146353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31774314670601) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1369748055 + ... + 1369771251.

Almost surely, 2^{31774314670641} is an apocalyptic number.

31774314670641 is the 5636871-st square number.

31774314670641 is the 2818436-th centered octagonal number.

It is an amenable number.

31774314670641 is a deficient number, since it is larger than the sum of its proper divisors (15888943001370).

31774314670641 is an frugal number, since it uses more digits than its factorization.

31774314670641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46424 (or 23200 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 31774314670641 in words is "thirty-one trillion, seven hundred seventy-four billion, three hundred fourteen million, six hundred seventy thousand, six hundred forty-one".