312243953644480 has 112 divisors (see below), whose sum is σ = 873518836879584. Its totient is φ = 104809159249920.

The previous prime is 312243953644459. The next prime is 312243953644487. The reversal of 312243953644480 is 84446359342213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312243953644487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3411710727 + ... + 3411802246.

It is an arithmetic number, because the mean of its divisors is an integer number (7799275329282).

Almost surely, 2^{312243953644480} is an apocalyptic number.

It is an amenable number.

312243953644480 is an abundant number, since it is smaller than the sum of its proper divisors (561274883235104).

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

312243953644480 is a wasteful number, since it uses less digits than its factorization.

312243953644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823513014 (or 6823513004 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 58.

The spelling of 312243953644480 in words is "three hundred twelve trillion, two hundred forty-three billion, nine hundred fifty-three million, six hundred forty-four thousand, four hundred eighty".