31463434656000 has 432 divisors, whose sum is σ = 113258760411888. Its totient is φ = 8386977792000.

The previous prime is 31463434655999. The next prime is 31463434656041. The reversal of 31463434656000 is 65643436413.

31463434656000 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 3 + 4 + 34 + 6 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4730729400576 + 26732705255424 = 2175024^2 + 5170368^2 .

It is a super-3 number, since 3×31463434656000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789388072 + ... + 789427928.

It is an arithmetic number, because the mean of its divisors is an integer number (262173056509).

Almost surely, 2^{31463434656000} is an apocalyptic number.

31463434656000 is a gapful number since it is divisible by the number (30) 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 31463434656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56629380205944).

31463434656000 is an abundant number, since it is smaller than the sum of its proper divisors (81795325755888).

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

31463434656000 is a wasteful number, since it uses less digits than its factorization.

31463434656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42635 (or 42608 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 31463434656000 in words is "thirty-one trillion, four hundred sixty-three billion, four hundred thirty-four million, six hundred fifty-six thousand".