31429616656 has 135 divisors (see below), whose sum is σ = 66665886973. Its totient is φ = 14352912640.

The previous prime is 31429616629. The next prime is 31429616683. The reversal of 31429616656 is 65661692413.

The square root of 31429616656 is 177284.

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

It is an interprime number because it is at equal distance from previous prime (31429616629) and next prime (31429616683).

It can be written as a sum of positive squares in only one way, i.e., 1514455056 + 29915161600 = 38916^2 + 172960^2 .

It is a super-2 number, since 2×31429616656² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 668715225 + ... + 668715271.

Almost surely, 2^31429616656 is an apocalyptic number.

31429616656 is the 177284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31429616656

31429616656 is an abundant number, since it is smaller than the sum of its proper divisors (35236270317).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31429616656 is an equidigital number, since it uses as much as digits as its factorization.

31429616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

Multiplying 31429616656 by its sum of digits (49), we get a square (1540051216144 = 1240988²).

The spelling of 31429616656 in words is "thirty-one billion, four hundred twenty-nine million, six hundred sixteen thousand, six hundred fifty-six".