114890112 has 192 divisors, whose sum is σ = 361998000. Its totient is φ = 34836480.

The previous prime is 114890107. The next prime is 114890119. The reversal of 114890112 is 211098411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114890119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634662 + ... + 634842.

Almost surely, 2^114890112 is an apocalyptic number.

114890112 is a gapful number since it is divisible by the number (12) 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 114890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999000).

114890112 is an abundant number, since it is smaller than the sum of its proper divisors (247107888).

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

114890112 is a wasteful number, since it uses less digits than its factorization.

114890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 114890112 is about 10718.6805158098. The cubic root of 114890112 is about 486.1394712244.

The spelling of 114890112 in words is "one hundred fourteen million, eight hundred ninety thousand, one hundred twelve".