338654931888 has 640 divisors, whose sum is σ = 1152106260480. Its totient is φ = 83328860160.

The previous prime is 338654931821. The next prime is 338654931893. The reversal of 338654931888 is 888139456833.

It is a super-2 number, since 2×338654931888² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 490093623 + ... + 490094313.

It is an arithmetic number, because the mean of its divisors is an integer number (1800166032).

Almost surely, 2^338654931888 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 338654931888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576053130240).

338654931888 is an abundant number, since it is smaller than the sum of its proper divisors (813451328592).

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

338654931888 is a wasteful number, since it uses less digits than its factorization.

338654931888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 66.

The spelling of 338654931888 in words is "three hundred thirty-eight billion, six hundred fifty-four million, nine hundred thirty-one thousand, eight hundred eighty-eight".