114819180 has 96 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 26071296.

The previous prime is 114819179. The next prime is 114819181. The reversal of 114819180 is 81918411.

It is an interprime number because it is at equal distance from previous prime (114819179) and next prime (114819181).

It is not an unprimeable number, because it can be changed into a prime (114819181) 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, 69322 + ... + 70958.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^114819180 is an apocalyptic number.

114819180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114819180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

114819180 is an abundant number, since it is smaller than the sum of its proper divisors (255028116).

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

114819180 is a wasteful number, since it uses less digits than its factorization.

114819180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The square root of 114819180 is about 10715.3712021563. The cubic root of 114819180 is about 486.0394047543.

The spelling of 114819180 in words is "one hundred fourteen million, eight hundred nineteen thousand, one hundred eighty".