2113527168 has 160 divisors (see below), whose sum is σ = 6621483000. Its totient is φ = 667367424.

The previous prime is 2113527167. The next prime is 2113527173. The reversal of 2113527168 is 8617253112.

2113527168 is a `hidden beast` number, since 2 + 113 + 527 + 16 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113527167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191628 + ... + 202356.

Almost surely, 2^2113527168 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 2113527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310741500).

2113527168 is an abundant number, since it is smaller than the sum of its proper divisors (4507955832).

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

2113527168 is a wasteful number, since it uses less digits than its factorization.

2113527168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10753 counting only the distinct ones).

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

The square root of 2113527168 is about 45973.1135338907. The cubic root of 2113527168 is about 1283.3229026794.

The spelling of 2113527168 in words is "two billion, one hundred thirteen million, five hundred twenty-seven thousand, one hundred sixty-eight".