2116716510174 has 96 divisors (see below), whose sum is σ = 4996020093696. Its totient is φ = 596012981760.

The previous prime is 2116716510131. The next prime is 2116716510193. The reversal of 2116716510174 is 4710156176112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54106729 + ... + 54145835.

It is an arithmetic number, because the mean of its divisors is an integer number (52041875976).

Almost surely, 2^{2116716510174} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116716510174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498010046848).

2116716510174 is an abundant number, since it is smaller than the sum of its proper divisors (2879303583522).

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

2116716510174 is a wasteful number, since it uses less digits than its factorization.

2116716510174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41790 (or 41783 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 2116716510174 in words is "two trillion, one hundred sixteen billion, seven hundred sixteen million, five hundred ten thousand, one hundred seventy-four".