31792316416 has 135 divisors (see below), whose sum is σ = 74337083919. Its totient is φ = 13556809728.

The previous prime is 31792316401. The next prime is 31792316419. The reversal of 31792316416 is 61461329713.

The square root of 31792316416 is 178304.

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

It is not an unprimeable number, because it can be changed into a prime (31792316419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159760285 + ... + 159760483.

Almost surely, 2^31792316416 is an apocalyptic number.

31792316416 is the 178304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31792316416

31792316416 is an abundant number, since it is smaller than the sum of its proper divisors (42544767503).

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

31792316416 is an frugal number, since it uses more digits than its factorization.

31792316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 208 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The spelling of 31792316416 in words is "thirty-one billion, seven hundred ninety-two million, three hundred sixteen thousand, four hundred sixteen".