312360267664 has 45 divisors (see below), whose sum is σ = 642970242577. Its totient is φ = 146975182592.

The previous prime is 312360267641. The next prime is 312360267671. The reversal of 312360267664 is 466762063213.

It is a happy number.

The square root of 312360267664 is 558892.

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

It can be written as a sum of positive squares in only one way, i.e., 243187059600 + 69173208064 = 493140^2 + 263008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38000547 + ... + 38008765.

Almost surely, 2^312360267664 is an apocalyptic number.

312360267664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

312360267664 is the 558892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312360267664

312360267664 is an abundant number, since it is smaller than the sum of its proper divisors (330609974913).

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

312360267664 is an frugal number, since it uses more digits than its factorization.

312360267664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 312360267664 in words is "three hundred twelve billion, three hundred sixty million, two hundred sixty-seven thousand, six hundred sixty-four".