339972416512768 has 288 divisors, whose sum is σ = 763220800367424. Its totient is φ = 150117580800000.

The previous prime is 339972416512741. The next prime is 339972416512843. The reversal of 339972416512768 is 867215614279933.

It is a self number, because there is not a number n which added to its sum of digits gives 339972416512768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754959868 + ... + 2755083268.

It is an arithmetic number, because the mean of its divisors is an integer number (2650072223498).

Almost surely, 2^{339972416512768} 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 339972416512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381610400183712).

339972416512768 is an abundant number, since it is smaller than the sum of its proper divisors (423248383854656).

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

339972416512768 is a wasteful number, since it uses less digits than its factorization.

339972416512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123863 (or 123849 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 73.

The spelling of 339972416512768 in words is "three hundred thirty-nine trillion, nine hundred seventy-two billion, four hundred sixteen million, five hundred twelve thousand, seven hundred sixty-eight".