338399195512320 has 240 divisors, whose sum is σ = 1172173872767040. Its totient is φ = 90224209969152.

The previous prime is 338399195512297. The next prime is 338399195512337. The reversal of 338399195512320 is 23215591993833.

338399195512320 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 9 + 9 + 1 + 95 + 512 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338399195512320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132528646 + ... + 135057914.

It is an arithmetic number, because the mean of its divisors is an integer number (4884057803196).

Almost surely, 2^{338399195512320} is an apocalyptic number.

338399195512320 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 338399195512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586086936383520).

338399195512320 is an abundant number, since it is smaller than the sum of its proper divisors (833774677254720).

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

338399195512320 is a wasteful number, since it uses less digits than its factorization.

338399195512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535105 (or 2535086 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 338399195512320 in words is "three hundred thirty-eight trillion, three hundred ninety-nine billion, one hundred ninety-five million, five hundred twelve thousand, three hundred twenty".