338601074688 has 448 divisors, whose sum is σ = 1058787417600. Its totient is φ = 106728652800.

The previous prime is 338601074681. The next prime is 338601074701. The reversal of 338601074688 is 886470106833.

It is a super-2 number, since 2×338601074688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338601074681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513810103 + ... + 513810761.

Almost surely, 2^338601074688 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 338601074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529393708800).

338601074688 is an abundant number, since it is smaller than the sum of its proper divisors (720186342912).

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

338601074688 is a wasteful number, since it uses less digits than its factorization.

338601074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 338601074688 in words is "three hundred thirty-eight billion, six hundred one million, seventy-four thousand, six hundred eighty-eight".