2101166983674 has 96 divisors (see below), whose sum is σ = 5018870862720. Its totient is φ = 635263706880.

The previous prime is 2101166983673. The next prime is 2101166983703. The reversal of 2101166983674 is 4763896611012.

2101166983674 is a `hidden beast` number, since 210 + 1 + 1 + 6 + 69 + 8 + 367 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2101166983674.

It is not an unprimeable number, because it can be changed into a prime (2101166983673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10417674 + ... + 10617450.

It is an arithmetic number, because the mean of its divisors is an integer number (52279904820).

Almost surely, 2^{2101166983674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101166983674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509435431360).

2101166983674 is an abundant number, since it is smaller than the sum of its proper divisors (2917703879046).

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

2101166983674 is a wasteful number, since it uses less digits than its factorization.

2101166983674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200257 (or 200232 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2101166983674 in words is "two trillion, one hundred one billion, one hundred sixty-six million, nine hundred eighty-three thousand, six hundred seventy-four".