312461813932000 has 1536 divisors, whose sum is σ = 880897006080000. Its totient is φ = 108389449728000.

The previous prime is 312461813931997. The next prime is 312461813932003. The reversal of 312461813932000 is 239318164213.

It is an interprime number because it is at equal distance from previous prime (312461813931997) and next prime (312461813932003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312461813932003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 549142027716 + ... + 549142028284.

It is an arithmetic number, because the mean of its divisors is an integer number (573500655000).

Almost surely, 2^{312461813932000} is an apocalyptic number.

312461813932000 is the 14432875-th pentagonal number and also the 10205584-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312461813932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440448503040000).

312461813932000 is an abundant number, since it is smaller than the sum of its proper divisors (568435192148000).

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

312461813932000 is a wasteful number, since it uses less digits than its factorization.

312461813932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 312461813932000 in words is "three hundred twelve trillion, four hundred sixty-one billion, eight hundred thirteen million, nine hundred thirty-two thousand".