914090112 has 192 divisors, whose sum is σ = 2878162560. Its totient is φ = 276756480.

The previous prime is 914090077. The next prime is 914090123. The reversal of 914090112 is 211090419.

914090112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×914090112³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002937 + ... + 1003847.

It is an arithmetic number, because the mean of its divisors is an integer number (14990430).

Almost surely, 2^914090112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439081280).

914090112 is an abundant number, since it is smaller than the sum of its proper divisors (1964072448).

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

914090112 is a wasteful number, since it uses less digits than its factorization.

914090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 914090112 is about 30233.9231989499. The cubic root of 914090112 is about 970.5017816912.

The spelling of 914090112 in words is "nine hundred fourteen million, ninety thousand, one hundred twelve".