114891168 has 192 divisors, whose sum is σ = 372314880. Its totient is φ = 30277632.

The previous prime is 114891137. The next prime is 114891169. The reversal of 114891168 is 861198411.

It is not an unprimeable number, because it can be changed into a prime (114891169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016680 + ... + 1016792.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^114891168 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 114891168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

114891168 is an abundant number, since it is smaller than the sum of its proper divisors (257423712).

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

114891168 is a wasteful number, since it uses less digits than its factorization.

114891168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its digits is 13824, while the sum is 39.

The square root of 114891168 is about 10718.7297754911. The cubic root of 114891168 is about 486.1409606526.

The spelling of 114891168 in words is "one hundred fourteen million, eight hundred ninety-one thousand, one hundred sixty-eight".