338061922668 has 216 divisors, whose sum is σ = 926270326800. Its totient is φ = 103670461440.

The previous prime is 338061922663. The next prime is 338061922669. The reversal of 338061922668 is 866229160833.

338061922668 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338061922668² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338061922663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309296730 + ... + 309297822.

It is an arithmetic number, because the mean of its divisors is an integer number (4288288550).

Almost surely, 2^338061922668 is an apocalyptic number.

338061922668 is a gapful number since it is divisible by the number (38) 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 338061922668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463135163400).

338061922668 is an abundant number, since it is smaller than the sum of its proper divisors (588208404132).

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

338061922668 is a wasteful number, since it uses less digits than its factorization.

338061922668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 338061922668 in words is "three hundred thirty-eight billion, sixty-one million, nine hundred twenty-two thousand, six hundred sixty-eight".