114422191056 has 160 divisors (see below), whose sum is σ = 343126609920. Its totient is φ = 36438500736.

The previous prime is 114422191019. The next prime is 114422191141. The reversal of 114422191056 is 650191224411.

114422191056 is a `hidden beast` number, since 114 + 422 + 19 + 105 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114422191056.

It is a congruent number.

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, 8806741 + ... + 8819723.

It is an arithmetic number, because the mean of its divisors is an integer number (2144541312).

Almost surely, 2^114422191056 is an apocalyptic number.

114422191056 is a gapful number since it is divisible by the number (16) 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 114422191056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171563304960).

114422191056 is an abundant number, since it is smaller than the sum of its proper divisors (228704418864).

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

114422191056 is a wasteful number, since it uses less digits than its factorization.

114422191056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13910 (or 13898 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 114422191056 in words is "one hundred fourteen billion, four hundred twenty-two million, one hundred ninety-one thousand, fifty-six".