339222968884800 has 2688 divisors, whose sum is σ = 1687552656384000. Its totient is φ = 63998595072000.

The previous prime is 339222968884759. The next prime is 339222968884801. The reversal of 339222968884800 is 8488869222933.

339222968884800 is a `hidden beast` number, since 3 + 3 + 9 + 2 + 2 + 2 + 9 + 68 + 88 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (339222968884801) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 2637770901 + ... + 2637899499.

It is an arithmetic number, because the mean of its divisors is an integer number (627809768000).

Almost surely, 2^{339222968884800} is an apocalyptic number.

339222968884800 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 339222968884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843776328192000).

339222968884800 is an abundant number, since it is smaller than the sum of its proper divisors (1348329687499200).

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

339222968884800 is a wasteful number, since it uses less digits than its factorization.

339222968884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128722 (or 128701 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 339222968884800 in words is "three hundred thirty-nine trillion, two hundred twenty-two billion, nine hundred sixty-eight million, eight hundred eighty-four thousand, eight hundred".