114242660280 has 256 divisors, whose sum is σ = 437402880000. Its totient is φ = 25981046784.

The previous prime is 114242660261. The next prime is 114242660281. The reversal of 114242660280 is 82066242411.

114242660280 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 42 + 6 + 602 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114242660281) 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 63 ways as a sum of consecutive naturals, for example, 1466472 + ... + 1542408.

It is an arithmetic number, because the mean of its divisors is an integer number (1708605000).

Almost surely, 2^114242660280 is an apocalyptic number.

114242660280 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 114242660280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218701440000).

114242660280 is an abundant number, since it is smaller than the sum of its proper divisors (323160219720).

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

114242660280 is a wasteful number, since it uses less digits than its factorization.

114242660280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76163 (or 76153 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 114242660280 in words is "one hundred fourteen billion, two hundred forty-two million, six hundred sixty thousand, two hundred eighty".