114143359680 has 1008 divisors, whose sum is σ = 490425455520. Its totient is φ = 25165873152.

The previous prime is 114143359669. The next prime is 114143359723. The reversal of 114143359680 is 86953341411.

114143359680 is a `hidden beast` number, since 1 + 14 + 1 + 43 + 3 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110496444 + ... + 110497476.

It is an arithmetic number, because the mean of its divisors is an integer number (486533190).

Almost surely, 2^114143359680 is an apocalyptic number.

114143359680 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 114143359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245212727760).

114143359680 is an abundant number, since it is smaller than the sum of its proper divisors (376282095840).

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

114143359680 is a wasteful number, since it uses less digits than its factorization.

114143359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 114143359680 in words is "one hundred fourteen billion, one hundred forty-three million, three hundred fifty-nine thousand, six hundred eighty".