3117216469752 has 768 divisors, whose sum is σ = 11170897920000. Its totient is φ = 777619180800.

The previous prime is 3117216469751. The next prime is 3117216469789. The reversal of 3117216469752 is 2579646127113.

3117216469752 is a `hidden beast` number, since 3 + 1 + 172 + 1 + 6 + 469 + 7 + 5 + 2 = 666.

It is a super-3 number, since 3×3117216469752³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117216469751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1170564373 + ... + 1170567035.

It is an arithmetic number, because the mean of its divisors is an integer number (14545440000).

Almost surely, 2^{3117216469752} 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 3117216469752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585448960000).

3117216469752 is an abundant number, since it is smaller than the sum of its proper divisors (8053681450248).

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

3117216469752 is a wasteful number, since it uses less digits than its factorization.

3117216469752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2856 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 3117216469752 in words is "three trillion, one hundred seventeen billion, two hundred sixteen million, four hundred sixty-nine thousand, seven hundred fifty-two".