164738767257 has 24 divisors (see below), whose sum is σ = 255713923296. Its totient is φ = 101822726016.

The previous prime is 164738767247. The next prime is 164738767267. The reversal of 164738767257 is 752767837461.

164738767257 is a `hidden beast` number, since 1 + 6 + 473 + 87 + 67 + 25 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (164738767247) and next prime (164738767267).

It is not a de Polignac number, because 164738767257 - 2⁴ = 164738767241 is a prime.

It is a super-2 number, since 2×164738767257² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164738767194 and 164738767203.

It is not an unprimeable number, because it can be changed into a prime (164738767247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8025003 + ... + 8045504.

It is an arithmetic number, because the mean of its divisors is an integer number (10654746804).

Almost surely, 2^164738767257 is an apocalyptic number.

164738767257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164738767257 is a deficient number, since it is larger than the sum of its proper divisors (90975156039).

164738767257 is a wasteful number, since it uses less digits than its factorization.

164738767257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16070597 (or 16070594 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 164738767257 in words is "one hundred sixty-four billion, seven hundred thirty-eight million, seven hundred sixty-seven thousand, two hundred fifty-seven".