31667169314881 has 9 divisors (see below), whose sum is σ = 31708048461219. Its totient is φ = 31626342825336.

The previous prime is 31667169314863. The next prime is 31667169314917. The reversal of 31667169314881 is 18841396176613.

It is a happy number.

The square root of 31667169314881 is 5627359.

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., 26183535490225 + 5483633824656 = 5116985^2 + 2341716^2 .

It is not a de Polignac number, because 31667169314881 - 2⁹ = 31667169314369 is a prime.

It is a super-2 number, since 2×31667169314881² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31667169314801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4968954811 + ... + 4968961183.

It is an arithmetic number, because the mean of its divisors is an integer number (3523116495691).

Almost surely, 2^{31667169314881} is an apocalyptic number.

31667169314881 is the 5627359-th square number.

31667169314881 is the 2813680-th centered octagonal number.

It is an amenable number.

31667169314881 is a deficient number, since it is larger than the sum of its proper divisors (40879146338).

31667169314881 is an frugal number, since it uses more digits than its factorization.

31667169314881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14512 (or 7256 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

The spelling of 31667169314881 in words is "thirty-one trillion, six hundred sixty-seven billion, one hundred sixty-nine million, three hundred fourteen thousand, eight hundred eighty-one".