338077115712 has 280 divisors, whose sum is σ = 1166949818496. Its totient is φ = 94770404352.

The previous prime is 338077115711. The next prime is 338077115723. The reversal of 338077115712 is 217511770833.

338077115712 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 7 + 71 + 1 + 571 + 2 = 666.

It is a super-2 number, since 2×338077115712² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338077115711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1835373 + ... + 2011155.

Almost surely, 2^338077115712 is an apocalyptic number.

338077115712 is a gapful number since it is divisible by the number (32) 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 338077115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583474909248).

338077115712 is an abundant number, since it is smaller than the sum of its proper divisors (828872702784).

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

338077115712 is a wasteful number, since it uses less digits than its factorization.

338077115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175867 (or 175848 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 338077115712 in words is "three hundred thirty-eight billion, seventy-seven million, one hundred fifteen thousand, seven hundred twelve".