31693848613441 has 27 divisors (see below), whose sum is σ = 37083727299171. Its totient is φ = 27008377169424.

The previous prime is 31693848613423. The next prime is 31693848613457. The reversal of 31693848613441 is 14431684839613.

The square root of 31693848613441 is 5629729.

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

It can be written as a sum of positive squares in only one way, i.e., 31581084287025 + 112764326416 = 5619705^2 + 335804^2 .

It is not a de Polignac number, because 31693848613441 - 2⁹ = 31693848612929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31693848613441.

It is not an unprimeable number, because it can be changed into a prime (31693848613481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7054048191 + ... + 7054052683.

Almost surely, 2^{31693848613441} is an apocalyptic number.

31693848613441 is the 5629729-th square number.

31693848613441 is the 2814865-th centered octagonal number.

It is an amenable number.

31693848613441 is a deficient number, since it is larger than the sum of its proper divisors (5389878685730).

31693848613441 is an frugal number, since it uses more digits than its factorization.

31693848613441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 4679 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 61.

The spelling of 31693848613441 in words is "thirty-one trillion, six hundred ninety-three billion, eight hundred forty-eight million, six hundred thirteen thousand, four hundred forty-one".