338674520605824 has 384 divisors, whose sum is σ = 1111356484318080. Its totient is φ = 98070565847040.

The previous prime is 338674520605787. The next prime is 338674520605877. The reversal of 338674520605824 is 428506025476833.

338674520605824 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 7 + 45 + 2 + 0 + 6 + 0 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338674520605824² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234079559 + ... + 4234159545.

It is an arithmetic number, because the mean of its divisors is an integer number (2894157511245).

Almost surely, 2^{338674520605824} is an apocalyptic number.

338674520605824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338674520605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555678242159040).

338674520605824 is an abundant number, since it is smaller than the sum of its proper divisors (772681963712256).

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

338674520605824 is a wasteful number, since it uses less digits than its factorization.

338674520605824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96668 (or 96653 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 338674520605824 in words is "three hundred thirty-eight trillion, six hundred seventy-four billion, five hundred twenty million, six hundred five thousand, eight hundred twenty-four".