2257643714627 has 24 divisors (see below), whose sum is σ = 2717300260800. Its totient is φ = 1868049770496.

The previous prime is 2257643714593. The next prime is 2257643714647. The reversal of 2257643714627 is 7264173467522.

It is not a de Polignac number, because 2257643714627 - 2³⁶ = 2188924237891 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2257643714647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7698563 + ... + 7986435.

It is an arithmetic number, because the mean of its divisors is an integer number (113220844200).

Almost surely, 2^{2257643714627} is an apocalyptic number.

2257643714627 is a deficient number, since it is larger than the sum of its proper divisors (459656546173).

2257643714627 is a wasteful number, since it uses less digits than its factorization.

2257643714627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293435 (or 293428 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 56.

The spelling of 2257643714627 in words is "two trillion, two hundred fifty-seven billion, six hundred forty-three million, seven hundred fourteen thousand, six hundred twenty-seven".