338739883296672 has 384 divisors, whose sum is σ = 1046101452963840. Its totient is φ = 94620433674240.

The previous prime is 338739883296589. The next prime is 338739883296691. The reversal of 338739883296672 is 276692388937833.

It is a super-2 number, since 2×338739883296672² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45243736513 + ... + 45243743999.

It is an arithmetic number, because the mean of its divisors is an integer number (2724222533760).

Almost surely, 2^{338739883296672} is an apocalyptic number.

338739883296672 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 338739883296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523050726481920).

338739883296672 is an abundant number, since it is smaller than the sum of its proper divisors (707361569667168).

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

338739883296672 is a wasteful number, since it uses less digits than its factorization.

338739883296672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676 (or 11668 counting only the distinct ones).

The product of its digits is 23702740992, while the sum is 84.

The spelling of 338739883296672 in words is "three hundred thirty-eight trillion, seven hundred thirty-nine billion, eight hundred eighty-three million, two hundred ninety-six thousand, six hundred seventy-two".