338688405055 has 32 divisors (see below), whose sum is σ = 545690976768. Its totient is φ = 194889628800.

The previous prime is 338688405047. The next prime is 338688405073. The reversal of 338688405055 is 550504886833.

It is not a de Polignac number, because 338688405055 - 2³ = 338688405047 is a prime.

It is a super-2 number, since 2×338688405055² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a junction number, because it is equal to n+sod(n) for n = 338688404987 and 338688405005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33830001 + ... + 33840010.

It is an arithmetic number, because the mean of its divisors is an integer number (17052843024).

Almost surely, 2^338688405055 is an apocalyptic number.

338688405055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

338688405055 is a deficient number, since it is larger than the sum of its proper divisors (207002571713).

338688405055 is a wasteful number, since it uses less digits than its factorization.

338688405055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67670047.

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 338688405055 in words is "three hundred thirty-eight billion, six hundred eighty-eight million, four hundred five thousand, fifty-five".