31483468800 has 924 divisors, whose sum is σ = 134278057936. Its totient is φ = 7166361600.

The previous prime is 31483468769. The next prime is 31483468811. The reversal of 31483468800 is 886438413.

31483468800 is a `hidden beast` number, since 31 + 4 + 83 + 468 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636680 + ... + 130636920.

Almost surely, 2^31483468800 is an apocalyptic number.

31483468800 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 31483468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67139028968).

31483468800 is an abundant number, since it is smaller than the sum of its proper divisors (102794589136).

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

31483468800 is an equidigital number, since it uses as much as digits as its factorization.

31483468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 31483468800 in words is "thirty-one billion, four hundred eighty-three million, four hundred sixty-eight thousand, eight hundred".