339468064320 has 672 divisors, whose sum is σ = 1411948302336. Its totient is φ = 68260147200.

The previous prime is 339468064319. The next prime is 339468064337. The reversal of 339468064320 is 23460864933.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 339468064320.

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, 16030059 + ... + 16051221.

Almost surely, 2^339468064320 is an apocalyptic number.

339468064320 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 339468064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705974151168).

339468064320 is an abundant number, since it is smaller than the sum of its proper divisors (1072480238016).

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

339468064320 is a wasteful number, since it uses less digits than its factorization.

339468064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21239 (or 21222 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 339468064320 in words is "three hundred thirty-nine billion, four hundred sixty-eight million, sixty-four thousand, three hundred twenty".