114985080 has 192 divisors, whose sum is σ = 432207360. Its totient is φ = 25968384.

The previous prime is 114985067. The next prime is 114985121. The reversal of 114985080 is 80589411.

114985080 is a `hidden beast` number, since 1 + 149 + 8 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 259339 + ... + 259781.

It is an arithmetic number, because the mean of its divisors is an integer number (2251080).

Almost surely, 2^114985080 is an apocalyptic number.

114985080 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 114985080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216103680).

114985080 is an abundant number, since it is smaller than the sum of its proper divisors (317222280).

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

114985080 is a wasteful number, since it uses less digits than its factorization.

114985080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 114985080 is about 10723.1096236120. The cubic root of 114985080 is about 486.2733817284.

The spelling of 114985080 in words is "one hundred fourteen million, nine hundred eighty-five thousand, eighty".