114449120 has 48 divisors (see below), whose sum is σ = 271833408. Its totient is φ = 45534720.

The previous prime is 114449119. The next prime is 114449147. The reversal of 114449120 is 21944411.

It is a self number, because there is not a number n which added to its sum of digits gives 114449120.

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 7 ways as a sum of consecutive naturals, for example, 29705 + ... + 33335.

It is an arithmetic number, because the mean of its divisors is an integer number (5663196).

Almost surely, 2^114449120 is an apocalyptic number.

114449120 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 114449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135916704).

114449120 is an abundant number, since it is smaller than the sum of its proper divisors (157384288).

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

114449120 is a wasteful number, since it uses less digits than its factorization.

114449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 114449120 is about 10698.0895490737. The cubic root of 114449120 is about 485.5166775662.

The spelling of 114449120 in words is "one hundred fourteen million, four hundred forty-nine thousand, one hundred twenty".