338337662224 has 15 divisors (see below), whose sum is σ = 655533728517. Its totient is φ = 169167667776.

The previous prime is 338337662213. The next prime is 338337662279. The reversal of 338337662224 is 422266733833.

The square root of 338337662224 is 581668.

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., 335959344400 + 2378317824 = 579620^2 + 48768^2 .

It is a super-2 number, since 2×338337662224² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2253964 + ... + 2399380.

Almost surely, 2^338337662224 is an apocalyptic number.

338337662224 is the 581668-th square number.

It is an amenable number.

338337662224 is a deficient number, since it is larger than the sum of its proper divisors (317196066293).

338337662224 is an frugal number, since it uses more digits than its factorization.

338337662224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290842 (or 145419 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 49.

Multiplying 338337662224 by its sum of digits (49), we get a square (16578545448976 = 4071676²).

The spelling of 338337662224 in words is "three hundred thirty-eight billion, three hundred thirty-seven million, six hundred sixty-two thousand, two hundred twenty-four".