114863481168 has 160 divisors (see below), whose sum is σ = 306575913600. Its totient is φ = 37042790400.

The previous prime is 114863481167. The next prime is 114863481199. The reversal of 114863481168 is 861184368411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114863481168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114863481167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54983868 + ... + 54985956.

It is an arithmetic number, because the mean of its divisors is an integer number (1916099460).

Almost surely, 2^114863481168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114863481168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153287956800).

114863481168 is an abundant number, since it is smaller than the sum of its proper divisors (191712432432).

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

114863481168 is a wasteful number, since it uses less digits than its factorization.

114863481168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2455 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The spelling of 114863481168 in words is "one hundred fourteen billion, eight hundred sixty-three million, four hundred eighty-one thousand, one hundred sixty-eight".