338668125503488 has 360 divisors, whose sum is σ = 770766332297472. Its totient is φ = 148535574528000.

The previous prime is 338668125503459. The next prime is 338668125503497. The reversal of 338668125503488 is 884305521866833.

It is a super-2 number, since 2×338668125503488² (a number of 30 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 23 ways as a sum of consecutive naturals, for example, 21325357308 + ... + 21325373188.

Almost surely, 2^{338668125503488} 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 338668125503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385383166148736).

338668125503488 is an abundant number, since it is smaller than the sum of its proper divisors (432098206793984).

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

338668125503488 is a wasteful number, since it uses less digits than its factorization.

338668125503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16309 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 70.

The spelling of 338668125503488 in words is "three hundred thirty-eight trillion, six hundred sixty-eight billion, one hundred twenty-five million, five hundred three thousand, four hundred eighty-eight".