251345944449 has 48 divisors (see below), whose sum is σ = 374295164880. Its totient is φ = 162430894080.

The previous prime is 251345944439. The next prime is 251345944471. The reversal of 251345944449 is 944449543152.

251345944449 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 4 + 594 + 4 + 4 + 49 = 666.

251345944449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8750292849 + 242595651600 = 93543^2 + 492540^2 .

It is not a de Polignac number, because 251345944449 - 2⁷ = 251345944321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251345944395 and 251345944404.

It is not an unprimeable number, because it can be changed into a prime (251345944429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77838567 + ... + 77841795.

It is an arithmetic number, because the mean of its divisors is an integer number (7797815935).

Almost surely, 2^251345944449 is an apocalyptic number.

It is an amenable number.

251345944449 is a deficient number, since it is larger than the sum of its proper divisors (122949220431).

251345944449 is a wasteful number, since it uses less digits than its factorization.

251345944449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4559 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 251345944449 in words is "two hundred fifty-one billion, three hundred forty-five million, nine hundred forty-four thousand, four hundred forty-nine".