3117544125696 has 1728 divisors, whose sum is σ = 12824454988800. Its totient is φ = 734120755200.

The previous prime is 3117544125679. The next prime is 3117544125701. The reversal of 3117544125696 is 6965214457113.

3117544125696 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 544 + 1 + 2 + 5 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2857510111 + ... + 2857511201.

It is an arithmetic number, because the mean of its divisors is an integer number (7421559600).

Almost surely, 2^{3117544125696} is an apocalyptic number.

3117544125696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117544125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412227494400).

3117544125696 is an abundant number, since it is smaller than the sum of its proper divisors (9706910863104).

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

3117544125696 is a wasteful number, since it uses less digits than its factorization.

3117544125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1186 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 3117544125696 in words is "three trillion, one hundred seventeen billion, five hundred forty-four million, one hundred twenty-five thousand, six hundred ninety-six".