338759851893120 has 768 divisors, whose sum is σ = 1417186425283200. Its totient is φ = 72790906503168.

The previous prime is 338759851893083. The next prime is 338759851893161. The reversal of 338759851893120 is 21398158957833.

338759851893120 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 5 + 9 + 8 + 518 + 93 + 12 + 0 = 666.

It is a super-2 number, since 2×338759851893120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 587133736 + ... + 587710424.

Almost surely, 2^{338759851893120} is an apocalyptic number.

338759851893120 is a gapful number since it is divisible by the number (30) 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 338759851893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708593212641600).

338759851893120 is an abundant number, since it is smaller than the sum of its proper divisors (1078426573390080).

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

338759851893120 is a wasteful number, since it uses less digits than its factorization.

338759851893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577595 (or 577580 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 338759851893120 in words is "three hundred thirty-eight trillion, seven hundred fifty-nine billion, eight hundred fifty-one million, eight hundred ninety-three thousand, one hundred twenty".