338605593120 has 144 divisors (see below), whose sum is σ = 1164312781632. Its totient is φ = 89605501440.

The previous prime is 338605593119. The next prime is 338605593149. The reversal of 338605593120 is 21395506833.

It is a happy number.

338605593120 is a `hidden beast` number, since 3 + 3 + 8 + 60 + 559 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338605593120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 708852 + ... + 1086131.

It is an arithmetic number, because the mean of its divisors is an integer number (8085505428).

Almost surely, 2^338605593120 is an apocalyptic number.

338605593120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338605593120 is an abundant number, since it is smaller than the sum of its proper divisors (825707188512).

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

338605593120 is a wasteful number, since it uses less digits than its factorization.

338605593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795135 (or 1795124 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 338605593120 in words is "three hundred thirty-eight billion, six hundred five million, five hundred ninety-three thousand, one hundred twenty".