31465083456 has 189 divisors, whose sum is σ = 95430922041. Its totient is φ = 9910798848.

The previous prime is 31465083451. The next prime is 31465083479. The reversal of 31465083456 is 65438056413.

The square root of 31465083456 is 177384.

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

31465083456 is a `hidden beast` number, since 3 + 146 + 50 + 8 + 3 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7427681856 + 24037401600 = 86184^2 + 155040^2 .

It is not an unprimeable number, because it can be changed into a prime (31465083451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80886910 + ... + 80887298.

Almost surely, 2^31465083456 is an apocalyptic number.

31465083456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31465083456 is the 177384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31465083456

31465083456 is an abundant number, since it is smaller than the sum of its proper divisors (63965838585).

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

31465083456 is an equidigital number, since it uses as much as digits as its factorization.

31465083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 31465083456 in words is "thirty-one billion, four hundred sixty-five million, eighty-three thousand, four hundred fifty-six".