338851968000 has 704 divisors, whose sum is σ = 1387403017728. Its totient is φ = 71486668800.

The previous prime is 338851967981. The next prime is 338851968023. The reversal of 338851968000 is 869158833.

It is a super-2 number, since 2×338851968000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34939152 + ... + 34948848.

Almost surely, 2^338851968000 is an apocalyptic number.

338851968000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338851968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693701508864).

338851968000 is an abundant number, since it is smaller than the sum of its proper divisors (1048551049728).

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

338851968000 is a wasteful number, since it uses less digits than its factorization.

338851968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 338851968000 in words is "three hundred thirty-eight billion, eight hundred fifty-one million, nine hundred sixty-eight thousand".