114191168 has 84 divisors (see below), whose sum is σ = 283971492. Its totient is φ = 45158400.

The previous prime is 114191131. The next prime is 114191171. The reversal of 114191168 is 861191411.

It can be written as a sum of positive squares in 2 ways, for example, as 35904064 + 78287104 = 5992^2 + 8848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39368 + ... + 42168.

It is an arithmetic number, because the mean of its divisors is an integer number (3380613).

Almost surely, 2^114191168 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 114191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141985746).

114191168 is an abundant number, since it is smaller than the sum of its proper divisors (169780324).

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

114191168 is a wasteful number, since it uses less digits than its factorization.

114191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2823 counting only the distinct ones).

The product of its digits is 1728, while the sum is 32.

The square root of 114191168 is about 10686.0267639568. The cubic root of 114191168 is about 485.1516413910.

The spelling of 114191168 in words is "one hundred fourteen million, one hundred ninety-one thousand, one hundred sixty-eight".