338368975360 has 160 divisors (see below), whose sum is σ = 919685511360. Its totient is φ = 118360424448.

The previous prime is 338368975333. The next prime is 338368975381. The reversal of 338368975360 is 63579863833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×338368975360² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364759 + ... + 899881.

It is an arithmetic number, because the mean of its divisors is an integer number (5748034446).

Almost surely, 2^338368975360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338368975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459842755680).

338368975360 is an abundant number, since it is smaller than the sum of its proper divisors (581316536000).

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

338368975360 is a wasteful number, since it uses less digits than its factorization.

338368975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535178 (or 535162 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 61.

The spelling of 338368975360 in words is "three hundred thirty-eight billion, three hundred sixty-eight million, nine hundred seventy-five thousand, three hundred sixty".