114065518080 has 480 divisors, whose sum is σ = 395190956160. Its totient is φ = 27988623360.

The previous prime is 114065518079. The next prime is 114065518093. The reversal of 114065518080 is 80815560411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 199764195 + ... + 199764765.

It is an arithmetic number, because the mean of its divisors is an integer number (823314492).

Almost surely, 2^114065518080 is an apocalyptic number.

114065518080 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 114065518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197595478080).

114065518080 is an abundant number, since it is smaller than the sum of its proper divisors (281125438080).

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

114065518080 is an equidigital number, since it uses as much as digits as its factorization.

114065518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 114065518080 in words is "one hundred fourteen billion, sixty-five million, five hundred eighteen thousand, eighty".