3116174996480 has 704 divisors, whose sum is σ = 9620724449280. Its totient is φ = 941978419200.

The previous prime is 3116174996471. The next prime is 3116174996489. The reversal of 3116174996480 is 846994716113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3116174996471) and next prime (3116174996489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116174996489) 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, 1141036715 + ... + 1141039445.

Almost surely, 2^{3116174996480} 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 3116174996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810362224640).

3116174996480 is an abundant number, since it is smaller than the sum of its proper divisors (6504549452800).

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

3116174996480 is a wasteful number, since it uses less digits than its factorization.

3116174996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 59.

The spelling of 3116174996480 in words is "three trillion, one hundred sixteen billion, one hundred seventy-four million, nine hundred ninety-six thousand, four hundred eighty".