214377742657 has 24 divisors (see below), whose sum is σ = 242017611264. Its totient is φ = 189637890624.

The previous prime is 214377742613. The next prime is 214377742661. The reversal of 214377742657 is 756247773412.

It is not a de Polignac number, because 214377742657 - 2¹¹ = 214377740609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214377742598 and 214377742607.

It is not an unprimeable number, because it can be changed into a prime (214377742757) 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, 106848 + ... + 663454.

It is an arithmetic number, because the mean of its divisors is an integer number (10084067136).

Almost surely, 2^214377742657 is an apocalyptic number.

It is an amenable number.

214377742657 is a deficient number, since it is larger than the sum of its proper divisors (27639868607).

214377742657 is a wasteful number, since it uses less digits than its factorization.

214377742657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556729 (or 556716 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 55.

The spelling of 214377742657 in words is "two hundred fourteen billion, three hundred seventy-seven million, seven hundred forty-two thousand, six hundred fifty-seven".