189112114336464 has 1280 divisors, whose sum is σ = 651538498867200. Its totient is φ = 52523966177280.

The previous prime is 189112114336423. The next prime is 189112114336489. The reversal of 189112114336464 is 464633411211981.

189112114336464 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 1 + 2 + 1 + 143 + 36 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 189112114336464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48205992007 + ... + 48205995929.

It is an arithmetic number, because the mean of its divisors is an integer number (509014452240).

Almost surely, 2^{189112114336464} 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 189112114336464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325769249433600).

189112114336464 is an abundant number, since it is smaller than the sum of its proper divisors (462426384530736).

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

189112114336464 is a wasteful number, since it uses less digits than its factorization.

189112114336464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4148 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 189112114336464 in words is "one hundred eighty-nine trillion, one hundred twelve billion, one hundred fourteen million, three hundred thirty-six thousand, four hundred sixty-four".