312553323322944 has 224 divisors, whose sum is σ = 955403542941696. Its totient is φ = 89123683246080.

The previous prime is 312553323322939. The next prime is 312553323323011. The reversal of 312553323322944 is 449223323355213.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 176592909 + ... + 178354035.

Almost surely, 2^{312553323322944} is an apocalyptic number.

312553323322944 is a gapful number since it is divisible by the number (34) 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 312553323322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477701771470848).

312553323322944 is an abundant number, since it is smaller than the sum of its proper divisors (642850219618752).

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

312553323322944 is a wasteful number, since it uses less digits than its factorization.

312553323322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766113 (or 1766103 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 51.

The spelling of 312553323322944 in words is "three hundred twelve trillion, five hundred fifty-three billion, three hundred twenty-three million, three hundred twenty-two thousand, nine hundred forty-four".