3314467222144 has 256 divisors, whose sum is σ = 7579775105280. Its totient is φ = 1432048730112.

The previous prime is 3314467222123. The next prime is 3314467222189. The reversal of 3314467222144 is 4412227644133.

It is a self number, because there is not a number n which added to its sum of digits gives 3314467222144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402579052 + ... + 402587284.

It is an arithmetic number, because the mean of its divisors is an integer number (29608496505).

Almost surely, 2^{3314467222144} 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 3314467222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789887552640).

3314467222144 is an abundant number, since it is smaller than the sum of its proper divisors (4265307883136).

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

3314467222144 is a wasteful number, since it uses less digits than its factorization.

3314467222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8495 counting only the distinct ones).

The product of its digits is 774144, while the sum is 43.

The spelling of 3314467222144 in words is "three trillion, three hundred fourteen billion, four hundred sixty-seven million, two hundred twenty-two thousand, one hundred forty-four".