312910459456 has 105 divisors (see below), whose sum is σ = 724885184339. Its totient is φ = 134010506112.

The previous prime is 312910459441. The next prime is 312910459457. The reversal of 312910459456 is 654954019213.

The square root of 312910459456 is 559384.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312910459457) 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 14 ways as a sum of consecutive naturals, for example, 219277815 + ... + 219279241.

Almost surely, 2^312910459456 is an apocalyptic number.

312910459456 is the 559384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312910459456

312910459456 is an abundant number, since it is smaller than the sum of its proper divisors (411974724883).

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

312910459456 is an frugal number, since it uses more digits than its factorization.

312910459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 312910459456 by its sum of digits (49), we get a square (15332612513344 = 3915688²).

312910459456 divided by its sum of digits (49) gives a square (6385927744 = 79912²).

The spelling of 312910459456 in words is "three hundred twelve billion, nine hundred ten million, four hundred fifty-nine thousand, four hundred fifty-six".