338448245437080 has 384 divisors, whose sum is σ = 1247164439040000. Its totient is φ = 79146971735040.

The previous prime is 338448245437033. The next prime is 338448245437097. The reversal of 338448245437080 is 80734542844833.

338448245437080 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 4 + 8 + 2 + 4 + 543 + 7 + 0 + 80 = 666.

It is a super-2 number, since 2×338448245437080² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338448245436999 and 338448245437017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29822055 + ... + 39575894.

It is an arithmetic number, because the mean of its divisors is an integer number (3247824060000).

Almost surely, 2^{338448245437080} is an apocalyptic number.

338448245437080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338448245437080 is an abundant number, since it is smaller than the sum of its proper divisors (908716193602920).

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

338448245437080 is a wasteful number, since it uses less digits than its factorization.

338448245437080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69398039 (or 69398032 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 63.

The spelling of 338448245437080 in words is "three hundred thirty-eight trillion, four hundred forty-eight billion, two hundred forty-five million, four hundred thirty-seven thousand, eighty".