338833563264 has 512 divisors, whose sum is σ = 1211743027200. Its totient is φ = 91147161600.

The previous prime is 338833563259. The next prime is 338833563281. The reversal of 338833563264 is 462365338833.

It is a super-2 number, since 2×338833563264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 338833563264.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27742119 + ... + 27754329.

It is an arithmetic number, because the mean of its divisors is an integer number (2366685600).

Almost surely, 2^338833563264 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 338833563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605871513600).

338833563264 is an abundant number, since it is smaller than the sum of its proper divisors (872909463936).

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

338833563264 is a wasteful number, since it uses less digits than its factorization.

338833563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12291 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 338833563264 in words is "three hundred thirty-eight billion, eight hundred thirty-three million, five hundred sixty-three thousand, two hundred sixty-four".