312463008000 has 1728 divisors, whose sum is σ = 1374691578624. Its totient is φ = 69672960000.

The previous prime is 312463007953. The next prime is 312463008017. The reversal of 312463008000 is 800364213.

It is a happy number.

312463008000 is a `hidden beast` number, since 3 + 1 + 24 + 630 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1111967860 + ... + 1111968140.

It is an arithmetic number, because the mean of its divisors is an integer number (795539108).

Almost surely, 2^312463008000 is an apocalyptic number.

312463008000 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 312463008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687345789312).

312463008000 is an abundant number, since it is smaller than the sum of its proper divisors (1062228570624).

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

312463008000 is a wasteful number, since it uses less digits than its factorization.

312463008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 312463008000 in words is "three hundred twelve billion, four hundred sixty-three million, eight thousand".