312103456346352 has 160 divisors (see below), whose sum is σ = 888319917743616. Its totient is φ = 93635438464000.

The previous prime is 312103456346323. The next prime is 312103456346393. The reversal of 312103456346352 is 253643654301213.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1076174038 + ... + 1076464010.

Almost surely, 2^{312103456346352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312103456346352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444159958871808).

312103456346352 is an abundant number, since it is smaller than the sum of its proper divisors (576216461397264).

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

312103456346352 is a wasteful number, since it uses less digits than its factorization.

312103456346352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310279 (or 310273 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 312103456346352 in words is "three hundred twelve trillion, one hundred three billion, four hundred fifty-six million, three hundred forty-six thousand, three hundred fifty-two".