114182496 has 72 divisors (see below), whose sum is σ = 325798200. Its totient is φ = 37933056.

The previous prime is 114182491. The next prime is 114182521. The reversal of 114182496 is 694281411.

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 114182496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114182491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128871 + ... + 129753.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^114182496 is an apocalyptic number.

114182496 is a gapful number since it is divisible by the number (16) 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 114182496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162899100).

114182496 is an abundant number, since it is smaller than the sum of its proper divisors (211615704).

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

114182496 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (114182495) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1348).

114182496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 114182496 is about 10685.6209927173. The cubic root of 114182496 is about 485.1393598179.

The spelling of 114182496 in words is "one hundred fourteen million, one hundred eighty-two thousand, four hundred ninety-six".