339884336016 has 135 divisors (see below), whose sum is σ = 1004295129201. Its totient is φ = 107289919872.

The previous prime is 339884335981. The next prime is 339884336023. The reversal of 339884336016 is 610633488933.

The square root of 339884336016 is 582996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 145847610000 + 194036726016 = 381900^2 + 440496^2 .

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 26 ways as a sum of consecutive naturals, for example, 132921810 + ... + 132924366.

Almost surely, 2^339884336016 is an apocalyptic number.

339884336016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

339884336016 is the 582996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339884336016

339884336016 is an abundant number, since it is smaller than the sum of its proper divisors (664410793185).

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

339884336016 is an equidigital number, since it uses as much as digits as its factorization.

339884336016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 339884336016 in words is "three hundred thirty-nine billion, eight hundred eighty-four million, three hundred thirty-six thousand, sixteen".