3313725759414 has 128 divisors (see below), whose sum is σ = 8789955840000. Its totient is φ = 904764795264.

The previous prime is 3313725759367. The next prime is 3313725759419. The reversal of 3313725759414 is 4149575273133.

3313725759414 is a `hidden beast` number, since 3 + 3 + 1 + 37 + 2 + 5 + 7 + 594 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313725759419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9115612 + ... + 9472160.

It is an arithmetic number, because the mean of its divisors is an integer number (68671530000).

Almost surely, 2^{3313725759414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313725759414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394977920000).

3313725759414 is an abundant number, since it is smaller than the sum of its proper divisors (5476230080586).

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

3313725759414 is a wasteful number, since it uses less digits than its factorization.

3313725759414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357659 (or 357653 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 3313725759414 in words is "three trillion, three hundred thirteen billion, seven hundred twenty-five million, seven hundred fifty-nine thousand, four hundred fourteen".