114225241644 has 144 divisors (see below), whose sum is σ = 300982500000. Its totient is φ = 36481536000.

The previous prime is 114225241643. The next prime is 114225241679. The reversal of 114225241644 is 446142522411.

114225241644 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 5 + 2 + 4 + 1 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114225241599 and 114225241608.

It is not an unprimeable number, because it can be changed into a prime (114225241643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91452732 + ... + 91453980.

It is an arithmetic number, because the mean of its divisors is an integer number (2090156250).

Almost surely, 2^114225241644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114225241644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150491250000).

114225241644 is an abundant number, since it is smaller than the sum of its proper divisors (186757258356).

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

114225241644 is a wasteful number, since it uses less digits than its factorization.

114225241644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1883 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 114225241644 in words is "one hundred fourteen billion, two hundred twenty-five million, two hundred forty-one thousand, six hundred forty-four".