3125968594848 has 768 divisors, whose sum is σ = 10772833075200. Its totient is φ = 872460288000.

The previous prime is 3125968594813. The next prime is 3125968594849. The reversal of 3125968594848 is 8484958695213.

3125968594848 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 96 + 8 + 59 + 484 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3125968594849) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606628240 + ... + 606633392.

It is an arithmetic number, because the mean of its divisors is an integer number (14027126400).

Almost surely, 2^{3125968594848} 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 3125968594848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386416537600).

3125968594848 is an abundant number, since it is smaller than the sum of its proper divisors (7646864480352).

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

3125968594848 is a wasteful number, since it uses less digits than its factorization.

3125968594848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5300 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 3125968594848 in words is "three trillion, one hundred twenty-five billion, nine hundred sixty-eight million, five hundred ninety-four thousand, eight hundred forty-eight".