312368411213824 has 192 divisors, whose sum is σ = 740435549309100. Its totient is φ = 131346250334208.

The previous prime is 312368411213821. The next prime is 312368411213857. The reversal of 312368411213824 is 428312114863213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 308945023156224 + 3423388057600 = 17576832^2 + 1850240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (312368411213821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83263162 + ... + 86933830.

Almost surely, 2^{312368411213824} 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 312368411213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370217774654550).

312368411213824 is an abundant number, since it is smaller than the sum of its proper divisors (428067138095276).

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

312368411213824 is an frugal number, since it uses more digits than its factorization.

312368411213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670766 (or 3670731 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The spelling of 312368411213824 in words is "three hundred twelve trillion, three hundred sixty-eight billion, four hundred eleven million, two hundred thirteen thousand, eight hundred twenty-four".