312755440421449 has 27 divisors (see below), whose sum is σ = 321197524499847. Its totient is φ = 304533857460000.

The previous prime is 312755440421407. The next prime is 312755440421503. The reversal of 312755440421449 is 944124044557213.

The square root of 312755440421449 is 17684893.

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., 168233688663049 + 144521751758400 = 12970493^2 + 12021720^2 .

It is a de Polignac number, because none of the positive numbers 2^k-312755440421449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312755440421449.

It is not an unprimeable number, because it can be changed into a prime (312755440421549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104217072949 + ... + 104217075949.

Almost surely, 2^{312755440421449} is an apocalyptic number.

312755440421449 is the 17684893-rd square number.

312755440421449 is the 8842447-th centered octagonal number.

It is an amenable number.

312755440421449 is a deficient number, since it is larger than the sum of its proper divisors (8442084078398).

312755440421449 is an frugal number, since it uses more digits than its factorization.

312755440421449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 312755440421449 in words is "three hundred twelve trillion, seven hundred fifty-five billion, four hundred forty million, four hundred twenty-one thousand, four hundred forty-nine".