338406112404 has 36 divisors (see below), whose sum is σ = 866243501760. Its totient is φ = 111374162640.

The previous prime is 338406112403. The next prime is 338406112409. The reversal of 338406112404 is 404211604833.

338406112404 is a `hidden beast` number, since 3 + 3 + 8 + 406 + 1 + 1 + 240 + 4 = 666.

338406112404 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×338406112404² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338406112403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59491902 + ... + 59497589.

Almost surely, 2^338406112404 is an apocalyptic number.

It is an amenable number.

338406112404 is an abundant number, since it is smaller than the sum of its proper divisors (527837389356).

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

338406112404 is a wasteful number, since it uses less digits than its factorization.

338406112404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118989580 (or 118989575 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 338406112404 in words is "three hundred thirty-eight billion, four hundred six million, one hundred twelve thousand, four hundred four".