114001632 has 108 divisors (see below), whose sum is σ = 337637664. Its totient is φ = 36449280.

The previous prime is 114001567. The next prime is 114001633. The reversal of 114001632 is 236100411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001633) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1008808 + ... + 1008920.

Almost surely, 2^114001632 is an apocalyptic number.

114001632 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 114001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168818832).

114001632 is an abundant number, since it is smaller than the sum of its proper divisors (223636032).

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

114001632 is a wasteful number, since it uses less digits than its factorization.

114001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114001632 is about 10677.1546771600. The cubic root of 114001632 is about 484.8830723899.

The spelling of 114001632 in words is "one hundred fourteen million, one thousand, six hundred thirty-two".