257164266434211 has 48 divisors (see below), whose sum is σ = 398452089544704. Its totient is φ = 159409886213952.

The previous prime is 257164266434203. The next prime is 257164266434261. The reversal of 257164266434211 is 112434662461752.

257164266434211 is a `hidden beast` number, since 2 + 5 + 7 + 164 + 26 + 6 + 434 + 21 + 1 = 666.

It is not a de Polignac number, because 257164266434211 - 2³ = 257164266434203 is a prime.

It is a super-2 number, since 2×257164266434211² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257164266434261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7119351 + ... + 23770016.

It is an arithmetic number, because the mean of its divisors is an integer number (8301085198848).

Almost surely, 2^{257164266434211} is an apocalyptic number.

257164266434211 is a deficient number, since it is larger than the sum of its proper divisors (141287823110493).

257164266434211 is a wasteful number, since it uses less digits than its factorization.

257164266434211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30890520 (or 30890517 counting only the distinct ones).

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

The spelling of 257164266434211 in words is "two hundred fifty-seven trillion, one hundred sixty-four billion, two hundred sixty-six million, four hundred thirty-four thousand, two hundred eleven".