312454168576 has 135 divisors (see below), whose sum is σ = 688596244077. Its totient is φ = 141666877440.

The previous prime is 312454168531. The next prime is 312454168577. The reversal of 312454168576 is 675861454213.

The square root of 312454168576 is 558976.

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., 209397760000 + 103056408576 = 457600^2 + 321024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312454168577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 787038010 + ... + 787038406.

Almost surely, 2^312454168576 is an apocalyptic number.

312454168576 is the 558976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312454168576

312454168576 is an abundant number, since it is smaller than the sum of its proper divisors (376142075501).

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

312454168576 is an frugal number, since it uses more digits than its factorization.

312454168576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 410 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The spelling of 312454168576 in words is "three hundred twelve billion, four hundred fifty-four million, one hundred sixty-eight thousand, five hundred seventy-six".