114447456 has 144 divisors (see below), whose sum is σ = 343193760. Its totient is φ = 36126720.

The previous prime is 114447439. The next prime is 114447479. The reversal of 114447456 is 654744411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114447456.

It is a congruent number.

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, 592896 + ... + 593088.

It is an arithmetic number, because the mean of its divisors is an integer number (2383290).

Almost surely, 2^114447456 is an apocalyptic number.

114447456 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 114447456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171596880).

114447456 is an abundant number, since it is smaller than the sum of its proper divisors (228746304).

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

114447456 is a wasteful number, since it uses less digits than its factorization.

114447456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 114447456 is about 10698.0117778959. The cubic root of 114447456 is about 485.5143245448.

The spelling of 114447456 in words is "one hundred fourteen million, four hundred forty-seven thousand, four hundred fifty-six".