3314144664306 has 320 divisors, whose sum is σ = 8894101708800. Its totient is φ = 921613230720.

The previous prime is 3314144664293. The next prime is 3314144664323. The reversal of 3314144664306 is 6034664414133.

3314144664306 is a `hidden beast` number, since 3 + 3 + 14 + 144 + 66 + 430 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 374010316 + ... + 374019176.

It is an arithmetic number, because the mean of its divisors is an integer number (27794067840).

Almost surely, 2^{3314144664306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314144664306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447050854400).

3314144664306 is an abundant number, since it is smaller than the sum of its proper divisors (5579957044494).

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

3314144664306 is a wasteful number, since it uses less digits than its factorization.

3314144664306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3314144664306 in words is "three trillion, three hundred fourteen billion, one hundred forty-four million, six hundred sixty-four thousand, three hundred six".