114448588800 has 1344 divisors, whose sum is σ = 491458544640. Its totient is φ = 22837985280.

The previous prime is 114448588799. The next prime is 114448588819. The reversal of 114448588800 is 8885844411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×114448588800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285939156 + ... + 1285939244.

It is an arithmetic number, because the mean of its divisors is an integer number (365668560).

Almost surely, 2^114448588800 is an apocalyptic number.

114448588800 is a gapful number since it is divisible by the number (10) 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 114448588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245729272320).

114448588800 is an abundant number, since it is smaller than the sum of its proper divisors (377009955840).

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

114448588800 is a wasteful number, since it uses less digits than its factorization.

114448588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 51.

The spelling of 114448588800 in words is "one hundred fourteen billion, four hundred forty-eight million, five hundred eighty-eight thousand, eight hundred".