114411024 has 120 divisors (see below), whose sum is σ = 394127552. Its totient is φ = 30170880.

The previous prime is 114411007. The next prime is 114411053. The reversal of 114411024 is 420114411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114410988 and 114411006.

It is an unprimeable number.

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, 8739 + ... + 17469.

Almost surely, 2^114411024 is an apocalyptic number.

114411024 is a gapful number since it is divisible by the number (14) 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 114411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197063776).

114411024 is an abundant number, since it is smaller than the sum of its proper divisors (279716528).

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

114411024 is a wasteful number, since it uses less digits than its factorization.

114411024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114411024 is about 10696.3088960632. The cubic root of 114411024 is about 485.4628012353.

Adding to 114411024 its reverse (420114411), we get a palindrome (534525435).

The spelling of 114411024 in words is "one hundred fourteen million, four hundred eleven thousand, twenty-four".