338157998080 has 208 divisors, whose sum is σ = 936450687744. Its totient is φ = 114809241600.

The previous prime is 338157998077. The next prime is 338157998107. The reversal of 338157998080 is 80899751833.

It is a super-2 number, since 2×338157998080² (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, 14754630 + ... + 14777530.

It is an arithmetic number, because the mean of its divisors is an integer number (4502166768).

Almost surely, 2^338157998080 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 338157998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468225343872).

338157998080 is an abundant number, since it is smaller than the sum of its proper divisors (598292689664).

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

338157998080 is a wasteful number, since it uses less digits than its factorization.

338157998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23040 (or 23018 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 338157998080 in words is "three hundred thirty-eight billion, one hundred fifty-seven million, nine hundred ninety-eight thousand, eighty".