2166148656 has 480 divisors, whose sum is σ = 7799500800. Its totient is φ = 568270080.

The previous prime is 2166148603. The next prime is 2166148679. The reversal of 2166148656 is 6568416612.

2166148656 is a `hidden beast` number, since 2 + 166 + 1 + 486 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30509101 + ... + 30509171.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^2166148656 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 2166148656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

2166148656 is an abundant number, since it is smaller than the sum of its proper divisors (5633352144).

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

2166148656 is a wasteful number, since it uses less digits than its factorization.

2166148656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2166148656 is about 46541.9021527913. The cubic root of 2166148656 is about 1293.8862147694.

The spelling of 2166148656 in words is "two billion, one hundred sixty-six million, one hundred forty-eight thousand, six hundred fifty-six".