114170170760 has 128 divisors (see below), whose sum is σ = 270698112000. Its totient is φ = 43273337856.

The previous prime is 114170170747. The next prime is 114170170781. The reversal of 114170170760 is 67071071411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114170170760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59062754 + ... + 59064686.

It is an arithmetic number, because the mean of its divisors is an integer number (2114829000).

Almost surely, 2^114170170760 is an apocalyptic number.

114170170760 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 114170170760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135349056000).

114170170760 is an abundant number, since it is smaller than the sum of its proper divisors (156527941240).

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

114170170760 is a wasteful number, since it uses less digits than its factorization.

114170170760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 35.

The spelling of 114170170760 in words is "one hundred fourteen billion, one hundred seventy million, one hundred seventy thousand, seven hundred sixty".