312504447360 has 256 divisors, whose sum is σ = 1139526374400. Its totient is φ = 71359488000.

The previous prime is 312504447259. The next prime is 312504447373. The reversal of 312504447360 is 63744405213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14356485 + ... + 14378235.

It is an arithmetic number, because the mean of its divisors is an integer number (4451274900).

Almost surely, 2^312504447360 is an apocalyptic number.

312504447360 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 312504447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569763187200).

312504447360 is an abundant number, since it is smaller than the sum of its proper divisors (827021927040).

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

312504447360 is a wasteful number, since it uses less digits than its factorization.

312504447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22849 (or 22837 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 312504447360 in words is "three hundred twelve billion, five hundred four million, four hundred forty-seven thousand, three hundred sixty".