114017632 has 48 divisors (see below), whose sum is σ = 237489840. Its totient is φ = 53733888.

The previous prime is 114017627. The next prime is 114017671. The reversal of 114017632 is 236710411.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 114017597 and 114017606.

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, 168078 + ... + 168754.

It is an arithmetic number, because the mean of its divisors is an integer number (4947705).

Almost surely, 2^114017632 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 114017632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118744920).

114017632 is an abundant number, since it is smaller than the sum of its proper divisors (123472208).

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

114017632 is a wasteful number, since it uses less digits than its factorization.

114017632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 114017632 is about 10677.9039141584. The cubic root of 114017632 is about 484.9057555922.

The spelling of 114017632 in words is "one hundred fourteen million, seventeen thousand, six hundred thirty-two".