339821165993088 has 1024 divisors, whose sum is σ = 1042186405478400. Its totient is φ = 97246953603072.

The previous prime is 339821165993059. The next prime is 339821165993119. The reversal of 339821165993088 is 880399561128933.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 727668449431 + ... + 727668449897.

It is an arithmetic number, because the mean of its divisors is an integer number (1017760161600).

Almost surely, 2^{339821165993088} is an apocalyptic number.

339821165993088 is a gapful number since it is divisible by the number (38) 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 339821165993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521093202739200).

339821165993088 is an abundant number, since it is smaller than the sum of its proper divisors (702365239485312).

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

339821165993088 is a wasteful number, since it uses less digits than its factorization.

339821165993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 75.

The spelling of 339821165993088 in words is "three hundred thirty-nine trillion, eight hundred twenty-one billion, one hundred sixty-five million, nine hundred ninety-three thousand, eighty-eight".