338304950452624 has 45 divisors (see below), whose sum is σ = 657161804871201. Its totient is φ = 168715934150400.

The previous prime is 338304950452529. The next prime is 338304950452633. The reversal of 338304950452624 is 426254059403833.

The square root of 338304950452624 is 18393068.

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., 334938752974224 + 3366197478400 = 18301332^2 + 1834720^2 .

It is a super-2 number, since 2×338304950452624² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29502475339 + ... + 29502486805.

Almost surely, 2^{338304950452624} is an apocalyptic number.

338304950452624 is the 18393068-th square number.

It is an amenable number.

338304950452624 is a deficient number, since it is larger than the sum of its proper divisors (318856854418577).

338304950452624 is an frugal number, since it uses more digits than its factorization.

338304950452624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23744 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 58.

The spelling of 338304950452624 in words is "three hundred thirty-eight trillion, three hundred four billion, nine hundred fifty million, four hundred fifty-two thousand, six hundred twenty-four".