31304729973969 has 81 divisors (see below), whose sum is σ = 48241542523707. Its totient is φ = 19558907911872.

The previous prime is 31304729973943. The next prime is 31304729973989. The reversal of 31304729973969 is 96937992740313.

The square root of 31304729973969 is 5595063.

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

31304729973969 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 472 + 9 + 97 + 3 + 9 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13036901742225 + 18267828231744 = 3610665^2 + 4274088^2 .

It is not a de Polignac number, because 31304729973969 - 2³¹ = 31302582490321 is a prime.

It is a super-3 number, since 3×31304729973969³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31304729973897 and 31304729973906.

It is not an unprimeable number, because it can be changed into a prime (31304729973919) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32848614397 + ... + 32848615349.

Almost surely, 2^{31304729973969} is an apocalyptic number.

31304729973969 is the 5595063-rd square number.

31304729973969 is the 2797532-nd centered octagonal number.

It is an amenable number.

31304729973969 is a deficient number, since it is larger than the sum of its proper divisors (16936812549738).

31304729973969 is an frugal number, since it uses more digits than its factorization.

31304729973969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 416649744, while the sum is 72.

The spelling of 31304729973969 in words is "thirty-one trillion, three hundred four billion, seven hundred twenty-nine million, nine hundred seventy-three thousand, nine hundred sixty-nine".