339468102144 has 200 divisors, whose sum is σ = 1014285328980. Its totient is φ = 113037410304.

The previous prime is 339468102133. The next prime is 339468102157. The reversal of 339468102144 is 441201864933.

339468102144 is a `hidden beast` number, since 3 + 39 + 468 + 10 + 2 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 303063462144 + 36404640000 = 550512^2 + 190800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 339468102144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45325152 + ... + 45332640.

Almost surely, 2^339468102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339468102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507142664490).

339468102144 is an abundant number, since it is smaller than the sum of its proper divisors (674817226836).

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

339468102144 is an equidigital number, since it uses as much as digits as its factorization.

339468102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 339468102144 in words is "three hundred thirty-nine billion, four hundred sixty-eight million, one hundred two thousand, one hundred forty-four".