114493392 has 320 divisors, whose sum is σ = 395808000. Its totient is φ = 31352832.

The previous prime is 114493387. The next prime is 114493439. The reversal of 114493392 is 293394411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 3094398 + ... + 3094434.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^114493392 is an apocalyptic number.

114493392 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 114493392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904000).

114493392 is an abundant number, since it is smaller than the sum of its proper divisors (281314608).

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

114493392 is a wasteful number, since it uses less digits than its factorization.

114493392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 114493392 is about 10700.1585034989. The cubic root of 114493392 is about 485.5792731352.

It can be divided in two parts, 11449 and 3392, that added together give a palindrome (14841).

The spelling of 114493392 in words is "one hundred fourteen million, four hundred ninety-three thousand, three hundred ninety-two".