312275321856 has 99 divisors (see below), whose sum is σ = 901843144293. Its totient is φ = 104073891840.

The previous prime is 312275321797. The next prime is 312275321879. The reversal of 312275321856 is 658123572213.

The square root of 312275321856 is 558816.

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

312275321856 is a `hidden beast` number, since 3 + 1 + 2 + 275 + 321 + 8 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 271632761856 + 40642560000 = 521184^2 + 201600^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 53643426 + ... + 53649246.

Almost surely, 2^312275321856 is an apocalyptic number.

312275321856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

312275321856 is the 558816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312275321856

312275321856 is an abundant number, since it is smaller than the sum of its proper divisors (589567822437).

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

312275321856 is an frugal number, since it uses more digits than its factorization.

312275321856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 5826 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 312275321856 in words is "three hundred twelve billion, two hundred seventy-five million, three hundred twenty-one thousand, eight hundred fifty-six".