238520873462641 has 27 divisors (see below), whose sum is σ = 304981574813643. Its totient is φ = 185859494232720.

The previous prime is 238520873462593. The next prime is 238520873462659. The reversal of 238520873462641 is 146264378025832.

The square root of 238520873462641 is 15444121.

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

It can be written as a sum of positive squares in only one way, i.e., 195024157661025 + 43496715801616 = 13965105^2 + 6595204^2 .

It is not a de Polignac number, because 238520873462641 - 2²⁹ = 238520336591729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238520873462641.

It is not an unprimeable number, because it can be changed into a prime (238520873462041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1189097031 + ... + 1189297603.

Almost surely, 2^{238520873462641} is an apocalyptic number.

238520873462641 is the 15444121-st square number.

238520873462641 is the 7722061-st centered octagonal number.

It is an amenable number.

238520873462641 is a deficient number, since it is larger than the sum of its proper divisors (66460701351002).

238520873462641 is an frugal number, since it uses more digits than its factorization.

238520873462641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401182 (or 200591 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 61.

The spelling of 238520873462641 in words is "two hundred thirty-eight trillion, five hundred twenty billion, eight hundred seventy-three million, four hundred sixty-two thousand, six hundred forty-one".