114661890 has 96 divisors (see below), whose sum is σ = 349989120. Its totient is φ = 25494912.

The previous prime is 114661849. The next prime is 114661919. The reversal of 114661890 is 98166411.

It is a happy number.

114661890 is a `hidden beast` number, since 11 + 466 + 189 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20851 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (3645720).

Almost surely, 2^114661890 is an apocalyptic number.

114661890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114661890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174994560).

114661890 is an abundant number, since it is smaller than the sum of its proper divisors (235327230).

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

114661890 is a wasteful number, since it uses less digits than its factorization.

114661890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114661890 is about 10708.0292304420. The cubic root of 114661890 is about 485.8173626599.

It can be divided in two parts, 1146 and 61890, that added together give a palindrome (63036).

The spelling of 114661890 in words is "one hundred fourteen million, six hundred sixty-one thousand, eight hundred ninety".