312349268992 has 176 divisors, whose sum is σ = 655396014240. Its totient is φ = 148598489088.

The previous prime is 312349268983. The next prime is 312349268993. The reversal of 312349268992 is 299862943213.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312349268993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837397318 + ... + 837397690.

It is an arithmetic number, because the mean of its divisors is an integer number (3723840990).

Almost surely, 2^312349268992 is an apocalyptic number.

312349268992 is a gapful number since it is divisible by the number (32) 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 312349268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327698007120).

312349268992 is an abundant number, since it is smaller than the sum of its proper divisors (343046745248).

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

312349268992 is a wasteful number, since it uses less digits than its factorization.

312349268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 740 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 58.

The spelling of 312349268992 in words is "three hundred twelve billion, three hundred forty-nine million, two hundred sixty-eight thousand, nine hundred ninety-two".