114406045679616 has 128 divisors (see below), whose sum is σ = 305326285756800. Its totient is φ = 38104329093120.

The previous prime is 114406045679573. The next prime is 114406045679671. The reversal of 114406045679616 is 616976540604411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 114406045679616.

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 7 ways as a sum of consecutive naturals, for example, 120539520 + ... + 121484928.

It is an arithmetic number, because the mean of its divisors is an integer number (2385361607475).

Almost surely, 2^{114406045679616} is an apocalyptic number.

114406045679616 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 114406045679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152663142878400).

114406045679616 is an abundant number, since it is smaller than the sum of its proper divisors (190920240077184).

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

114406045679616 is an frugal number, since it uses more digits than its factorization.

114406045679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946673 (or 946645 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 114406045679616 in words is "one hundred fourteen trillion, four hundred six billion, forty-five million, six hundred seventy-nine thousand, six hundred sixteen".