338257396801 has 3 divisors (see below), whose sum is σ = 338257978401. Its totient is φ = 338256815202.

The previous prime is 338257396717. The next prime is 338257396811. The reversal of 338257396801 is 108693752833.

The square root of 338257396801 is 581599.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 108693752833 = 47 ⋅2312633039.

It is not a de Polignac number, because 338257396801 - 2²³ = 338249008193 is a prime.

It is a super-2 number, since 2×338257396801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338257396811) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 290800 + ... + 872398.

It is an arithmetic number, because the mean of its divisors is an integer number (112752659467).

Almost surely, 2^338257396801 is an apocalyptic number.

338257396801 is the 581599-th square number.

338257396801 is the 290800-th centered octagonal number.

It is an amenable number.

338257396801 is a deficient number, since it is larger than the sum of its proper divisors (581600).

338257396801 is an frugal number, since it uses more digits than its factorization.

338257396801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163198 (or 581599 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 338257396801 in words is "three hundred thirty-eight billion, two hundred fifty-seven million, three hundred ninety-six thousand, eight hundred one".