339475113096000 has 672 divisors, whose sum is σ = 1311568741986048. Its totient is φ = 75789723340800.

The previous prime is 339475113095969. The next prime is 339475113096017. The reversal of 339475113096000 is 690311574933.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 310085574 + ... + 311178426.

It is an arithmetic number, because the mean of its divisors is an integer number (1951739199384).

Almost surely, 2^{339475113096000} is an apocalyptic number.

339475113096000 is a gapful number since it is divisible by the number (30) 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 339475113096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655784370993024).

339475113096000 is an abundant number, since it is smaller than the sum of its proper divisors (972093628890048).

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

339475113096000 is a wasteful number, since it uses less digits than its factorization.

339475113096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092976 (or 1092913 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 339475113096000 in words is "three hundred thirty-nine trillion, four hundred seventy-five billion, one hundred thirteen million, ninety-six thousand".