116646563626516 has 288 divisors, whose sum is σ = 274631318083584. Its totient is φ = 42331141036800.

The previous prime is 116646563626507. The next prime is 116646563626517. The reversal of 116646563626516 is 615626365646611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116646563626517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1109039706 + ... + 1109144878.

It is an arithmetic number, because the mean of its divisors is an integer number (953580965568).

Almost surely, 2^{116646563626516} 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 116646563626516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137315659041792).

116646563626516 is an abundant number, since it is smaller than the sum of its proper divisors (157984754457068).

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

116646563626516 is a wasteful number, since it uses less digits than its factorization.

116646563626516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105603 (or 105590 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 64.

The spelling of 116646563626516 in words is "one hundred sixteen trillion, six hundred forty-six billion, five hundred sixty-three million, six hundred twenty-six thousand, five hundred sixteen".