338228593920000 has 3840 divisors, whose sum is σ = 1512045190656000. Its totient is φ = 73010184192000.

The previous prime is 338228593919989. The next prime is 338228593920179. The reversal of 338228593920000 is 29395822833.

338228593920000 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 28 + 593 + 9 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×338228593920000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 495210239659 + ... + 495210240341.

It is an arithmetic number, because the mean of its divisors is an integer number (393761768400).

Almost surely, 2^{338228593920000} is an apocalyptic number.

338228593920000 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 338228593920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756022595328000).

338228593920000 is an abundant number, since it is smaller than the sum of its proper divisors (1173816596736000).

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

338228593920000 is an equidigital number, since it uses as much as digits as its factorization.

338228593920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 338228593920000 in words is "three hundred thirty-eight trillion, two hundred twenty-eight billion, five hundred ninety-three million, nine hundred twenty thousand".