31793742864 has 315 divisors, whose sum is σ = 100802975373. Its totient is φ = 9705661056.

The previous prime is 31793742859. The next prime is 31793742889. The reversal of 31793742864 is 46824739713.

The square root of 31793742864 is 178308.

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., 4703216400 + 27090526464 = 68580^2 + 164592^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31793742864.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 250344369 + ... + 250344495.

Almost surely, 2^31793742864 is an apocalyptic number.

31793742864 is the 178308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31793742864

31793742864 is an abundant number, since it is smaller than the sum of its proper divisors (69009232509).

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

31793742864 is an equidigital number, since it uses as much as digits as its factorization.

31793742864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 145 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 31793742864 in words is "thirty-one billion, seven hundred ninety-three million, seven hundred forty-two thousand, eight hundred sixty-four".