114533824 has 56 divisors (see below), whose sum is σ = 241401600. Its totient is φ = 53763840.

The previous prime is 114533803. The next prime is 114533827. The reversal of 114533824 is 428335411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114533827) 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 7 ways as a sum of consecutive naturals, for example, 158937 + ... + 159655.

Almost surely, 2^114533824 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 114533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

114533824 is an abundant number, since it is smaller than the sum of its proper divisors (126867776).

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

114533824 is a wasteful number, since it uses less digits than its factorization.

114533824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 114533824 is about 10702.0476545379. The cubic root of 114533824 is about 485.6364252853.

It can be divided in two parts, 1145 and 33824, that added together give a square (34969 = 187²).

The spelling of 114533824 in words is "one hundred fourteen million, five hundred thirty-three thousand, eight hundred twenty-four".