114331392 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 30523392.

The previous prime is 114331387. The next prime is 114331403. The reversal of 114331392 is 293133411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822459 + ... + 822597.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^114331392 is an apocalyptic number.

114331392 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 114331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

114331392 is an abundant number, since it is smaller than the sum of its proper divisors (297739008).

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

114331392 is a wasteful number, since it uses less digits than its factorization.

114331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 114331392 is about 10692.5858425359. The cubic root of 114331392 is about 485.3501449986.

The spelling of 114331392 in words is "one hundred fourteen million, three hundred thirty-one thousand, three hundred ninety-two".