338713053224 has 256 divisors, whose sum is σ = 851360025600. Its totient is φ = 122635763712.

The previous prime is 338713053149. The next prime is 338713053269. The reversal of 338713053224 is 422350317833.

It is a super-2 number, since 2×338713053224² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54867002 + ... + 54873174.

It is an arithmetic number, because the mean of its divisors is an integer number (3325625100).

Almost surely, 2^338713053224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338713053224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425680012800).

338713053224 is an abundant number, since it is smaller than the sum of its proper divisors (512646972376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338713053224 is a wasteful number, since it uses less digits than its factorization.

338713053224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 338713053224 in words is "three hundred thirty-eight billion, seven hundred thirteen million, fifty-three thousand, two hundred twenty-four".