114061086720 has 936 divisors, whose sum is σ = 468907686936. Its totient is φ = 25565331456.

The previous prime is 114061086707. The next prime is 114061086721. The reversal of 114061086720 is 27680160411.

It is a happy number.

114061086720 is a `hidden beast` number, since 1 + 14 + 0 + 610 + 8 + 6 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35911766016 + 78149320704 = 189504^2 + 279552^2 .

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 (114061086721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659312554 + ... + 659312726.

It is an arithmetic number, because the mean of its divisors is an integer number (500969751).

Almost surely, 2^114061086720 is an apocalyptic number.

114061086720 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 114061086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234453843468).

114061086720 is an abundant number, since it is smaller than the sum of its proper divisors (354846600216).

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

114061086720 is a wasteful number, since it uses less digits than its factorization.

114061086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 114061086720 in words is "one hundred fourteen billion, sixty-one million, eighty-six thousand, seven hundred twenty".