238023967129 has 9 divisors (see below), whose sum is σ = 257748796893. Its totient is φ = 219708576672.

The previous prime is 238023967109. The next prime is 238023967177. The reversal of 238023967129 is 921769320832.

The square root of 238023967129 is 487877.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 170242886025 + 67781081104 = 412605^2 + 260348^2 .

It is not a de Polignac number, because 238023967129 - 2²⁷ = 237889749401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238023967109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6323637 + ... + 6361165.

Almost surely, 2^238023967129 is an apocalyptic number.

238023967129 is the 487877-th square number.

238023967129 is the 243939-th centered octagonal number.

It is an amenable number.

238023967129 is a deficient number, since it is larger than the sum of its proper divisors (19724829764).

238023967129 is an frugal number, since it uses more digits than its factorization.

238023967129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75084 (or 37542 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 238023967129 in words is "two hundred thirty-eight billion, twenty-three million, nine hundred sixty-seven thousand, one hundred twenty-nine".