114047861760 has 704 divisors, whose sum is σ = 487664179200. Its totient is φ = 24692097024.

The previous prime is 114047861737. The next prime is 114047861843. The reversal of 114047861760 is 67168740411.

114047861760 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 478 + 6 + 176 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 18382819 + ... + 18389021.

It is an arithmetic number, because the mean of its divisors is an integer number (692704800).

Almost surely, 2^114047861760 is an apocalyptic number.

114047861760 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 114047861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243832089600).

114047861760 is an abundant number, since it is smaller than the sum of its proper divisors (373616317440).

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

114047861760 is a wasteful number, since it uses less digits than its factorization.

114047861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 114047861760 in words is "one hundred fourteen billion, forty-seven million, eight hundred sixty-one thousand, seven hundred sixty".