312403113020460 has 768 divisors, whose sum is σ = 1165910703390720. Its totient is φ = 61049179699200.

The previous prime is 312403113020459. The next prime is 312403113020549. The reversal of 312403113020460 is 64020311304213.

It is a super-2 number, since 2×312403113020460² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1455021715 + ... + 1455236405.

It is an arithmetic number, because the mean of its divisors is an integer number (1518112895040).

Almost surely, 2^{312403113020460} is an apocalyptic number.

312403113020460 is a gapful number since it is divisible by the number (30) 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 312403113020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582955351695360).

312403113020460 is an abundant number, since it is smaller than the sum of its proper divisors (853507590370260).

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

312403113020460 is a wasteful number, since it uses less digits than its factorization.

312403113020460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214899 (or 214875 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312403113020460 its reverse (64020311304213), we get a palindrome (376423424324673).

The spelling of 312403113020460 in words is "three hundred twelve trillion, four hundred three billion, one hundred thirteen million, twenty thousand, four hundred sixty".