338457161200 has 120 divisors (see below), whose sum is σ = 857348462000. Its totient is φ = 128046458880.

The previous prime is 338457161183. The next prime is 338457161213. The reversal of 338457161200 is 2161754833.

It is a super-2 number, since 2×338457161200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 4622476 + ... + 4695124.

Almost surely, 2^338457161200 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 338457161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428674231000).

338457161200 is an abundant number, since it is smaller than the sum of its proper divisors (518891300800).

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

338457161200 is a wasteful number, since it uses less digits than its factorization.

338457161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73299 (or 73288 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 338457161200 in words is "three hundred thirty-eight billion, four hundred fifty-seven million, one hundred sixty-one thousand, two hundred".