114544032 has 48 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 37839872.

The previous prime is 114544021. The next prime is 114544057. The reversal of 114544032 is 230445411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114543993 and 114544011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5569 + ... + 16127.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^114544032 is an apocalyptic number.

114544032 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 114544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

114544032 is an abundant number, since it is smaller than the sum of its proper divisors (188823648).

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

114544032 is a wasteful number, since it uses less digits than its factorization.

114544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 114544032 is about 10702.5245619900. The cubic root of 114544032 is about 485.6508525499.

Adding to 114544032 its reverse (230445411), we get a palindrome (344989443).

The spelling of 114544032 in words is "one hundred fourteen million, five hundred forty-four thousand, thirty-two".