7116145164000 has 2688 divisors, whose sum is σ = 29493246182400. Its totient is φ = 1678944153600.

The previous prime is 7116145163999. The next prime is 7116145164013. The reversal of 7116145164000 is 4615416117.

7116145164000 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 1 + 4 + 5 + 1 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 69088787949 + ... + 69088788051.

It is an arithmetic number, because the mean of its divisors is an integer number (10972189800).

Almost surely, 2^{7116145164000} 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 7116145164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14746623091200).

7116145164000 is an abundant number, since it is smaller than the sum of its proper divisors (22377101018400).

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

7116145164000 is a wasteful number, since it uses less digits than its factorization.

7116145164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 7116145164000 in words is "seven trillion, one hundred sixteen billion, one hundred forty-five million, one hundred sixty-four thousand".