344249966340225 has 72 divisors (see below), whose sum is σ = 677778254977824. Its totient is φ = 165634959360000.

The previous prime is 344249966340209. The next prime is 344249966340307. The reversal of 344249966340225 is 522043669942443.

344249966340225 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 4 + 9 + 9 + 66 + 340 + 225 = 666.

It is not a de Polignac number, because 344249966340225 - 2⁴ = 344249966340209 is a prime.

It is a super-3 number, since 3×344249966340225³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 530557056 + ... + 531205505.

It is an arithmetic number, because the mean of its divisors is an integer number (9413586874692).

Almost surely, 2^{344249966340225} is an apocalyptic number.

It is an amenable number.

344249966340225 is a deficient number, since it is larger than the sum of its proper divisors (333528288637599).

344249966340225 is a wasteful number, since it uses less digits than its factorization.

344249966340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061762719 (or 1061762711 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 344249966340225 in words is "three hundred forty-four trillion, two hundred forty-nine billion, nine hundred sixty-six million, three hundred forty thousand, two hundred twenty-five".