114041826600 has 768 divisors, whose sum is σ = 419439820800. Its totient is φ = 25380864000.

The previous prime is 114041826599. The next prime is 114041826611. The reversal of 114041826600 is 6628140411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 473202480 + ... + 473202720.

It is an arithmetic number, because the mean of its divisors is an integer number (546145600).

Almost surely, 2^114041826600 is an apocalyptic number.

114041826600 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 114041826600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209719910400).

114041826600 is an abundant number, since it is smaller than the sum of its proper divisors (305397994200).

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

114041826600 is a wasteful number, since it uses less digits than its factorization.

114041826600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 114041826600 in words is "one hundred fourteen billion, forty-one million, eight hundred twenty-six thousand, six hundred".