257668234461 has 96 divisors (see below), whose sum is σ = 434201886720. Its totient is φ = 150748884000.

The previous prime is 257668234433. The next prime is 257668234493. The reversal of 257668234461 is 164432866752.

257668234461 is a `hidden beast` number, since 2 + 5 + 76 + 6 + 82 + 34 + 461 = 666.

It is not a de Polignac number, because 257668234461 - 2¹⁷ = 257668103389 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257668234398 and 257668234407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257668234961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43647436 + ... + 43653338.

It is an arithmetic number, because the mean of its divisors is an integer number (4522936320).

Almost surely, 2^257668234461 is an apocalyptic number.

It is an amenable number.

257668234461 is a deficient number, since it is larger than the sum of its proper divisors (176533652259).

257668234461 is a wasteful number, since it uses less digits than its factorization.

257668234461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6379 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 257668234461 in words is "two hundred fifty-seven billion, six hundred sixty-eight million, two hundred thirty-four thousand, four hundred sixty-one".