338363117344512 has 720 divisors, whose sum is σ = 1136071911744000. Its totient is φ = 99384653389824.

The previous prime is 338363117344333. The next prime is 338363117344547. The reversal of 338363117344512 is 215443711363833.

338363117344512 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 6 + 3 + 11 + 73 + 44 + 512 = 666.

It is a super-2 number, since 2×338363117344512² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3093777253 + ... + 3093886619.

It is an arithmetic number, because the mean of its divisors is an integer number (1577877655200).

Almost surely, 2^{338363117344512} is an apocalyptic number.

338363117344512 is a gapful number since it is divisible by the number (32) 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 338363117344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568035955872000).

338363117344512 is an abundant number, since it is smaller than the sum of its proper divisors (797708794399488).

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

338363117344512 is a wasteful number, since it uses less digits than its factorization.

338363117344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109930 (or 109907 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 338363117344512 in words is "three hundred thirty-eight trillion, three hundred sixty-three billion, one hundred seventeen million, three hundred forty-four thousand, five hundred twelve".