31432264992 has 162 divisors, whose sum is σ = 92636804169. Its totient is φ = 10109352960.

The previous prime is 31432264979. The next prime is 31432264999. The reversal of 31432264992 is 29946223413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31432264992 is a `hidden beast` number, since 314 + 322 + 6 + 4 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29665239696 + 1767025296 = 172236^2 + 42036^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125364.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31432264999) 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 26 ways as a sum of consecutive naturals, for example, 93270648 + ... + 93270984.

Almost surely, 2^31432264992 is an apocalyptic number.

31432264992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31432264992

31432264992 is an abundant number, since it is smaller than the sum of its proper divisors (61204539177).

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

31432264992 is an equidigital number, since it uses as much as digits as its factorization.

31432264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 373 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 31432264992 in words is "thirty-one billion, four hundred thirty-two million, two hundred sixty-four thousand, nine hundred ninety-two".