31163216506641 has 12 divisors (see below), whose sum is σ = 45113787821700. Its totient is φ = 20729207116800.

The previous prime is 31163216506603. The next prime is 31163216506661. The reversal of 31163216506641 is 14660561236113.

31163216506641 is a `hidden beast` number, since 3 + 1 + 1 + 63 + 21 + 6 + 506 + 64 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6431701766400 + 24731514740241 = 2536080^2 + 4973079^2 .

It is not a de Polignac number, because 31163216506641 - 2¹¹ = 31163216504593 is a prime.

It is a super-2 number, since 2×31163216506641² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31163216506661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3855875260 + ... + 3855883341.

It is an arithmetic number, because the mean of its divisors is an integer number (3759482318475).

Almost surely, 2^{31163216506641} is an apocalyptic number.

It is an amenable number.

31163216506641 is a deficient number, since it is larger than the sum of its proper divisors (13950571315059).

31163216506641 is a wasteful number, since it uses less digits than its factorization.

31163216506641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711759056 (or 7711759053 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 31163216506641 in words is "thirty-one trillion, one hundred sixty-three billion, two hundred sixteen million, five hundred six thousand, six hundred forty-one".