31118072661 has 24 divisors (see below), whose sum is σ = 48448971480. Its totient is φ = 19132540416.

The previous prime is 31118072659. The next prime is 31118072677. The reversal of 31118072661 is 16627081113.

31118072661 is a `hidden beast` number, since 311 + 1 + 80 + 7 + 266 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1789797636 + 29328275025 = 42306^2 + 171255^2 .

It is not a de Polignac number, because 31118072661 - 2¹ = 31118072659 is a prime.

It is a super-2 number, since 2×31118072661² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31118072611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14305 + ... + 249881.

It is an arithmetic number, because the mean of its divisors is an integer number (2018707145).

Almost surely, 2^31118072661 is an apocalyptic number.

It is an amenable number.

31118072661 is a deficient number, since it is larger than the sum of its proper divisors (17330898819).

31118072661 is a wasteful number, since it uses less digits than its factorization.

31118072661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236725 (or 236722 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 31118072661 in words is "thirty-one billion, one hundred eighteen million, seventy-two thousand, six hundred sixty-one".