2113968168 has 96 divisors (see below), whose sum is σ = 6240255840. Its totient is φ = 642591360.

The previous prime is 2113968163. The next prime is 2113968169. The reversal of 2113968168 is 8618693112.

It is a super-2 number, since 2×2113968168² = 8937722830634552448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2113968161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64083 + ... + 91293.

It is an arithmetic number, because the mean of its divisors is an integer number (65002665).

Almost surely, 2^2113968168 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 2113968168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120127920).

2113968168 is an abundant number, since it is smaller than the sum of its proper divisors (4126287672).

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

2113968168 is a wasteful number, since it uses less digits than its factorization.

2113968168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27319 (or 27312 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 2113968168 is about 45977.9095653554. The cubic root of 2113968168 is about 1283.4121541214.

The spelling of 2113968168 in words is "two billion, one hundred thirteen million, nine hundred sixty-eight thousand, one hundred sixty-eight".