3014339268864 has 324 divisors, whose sum is σ = 10257877421232. Its totient is φ = 782944081920.

The previous prime is 3014339268851. The next prime is 3014339268923. The reversal of 3014339268864 is 4688629334103.

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 35 ways as a sum of consecutive naturals, for example, 4222479 + ... + 4884465.

Almost surely, 2^{3014339268864} 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 3014339268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128938710616).

3014339268864 is an abundant number, since it is smaller than the sum of its proper divisors (7243538152368).

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

3014339268864 is a wasteful number, since it uses less digits than its factorization.

3014339268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662042 (or 662010 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

It can be divided in two parts, 3014339 and 268864, that added together give a triangular number (3283203 = T₂₅₆₂).

The spelling of 3014339268864 in words is "three trillion, fourteen billion, three hundred thirty-nine million, two hundred sixty-eight thousand, eight hundred sixty-four".