189864561744 has 240 divisors, whose sum is σ = 660973569984. Its totient is φ = 49984819200.

The previous prime is 189864561707. The next prime is 189864561751. The reversal of 189864561744 is 447165468981.

189864561744 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 6 + 4 + 5 + 617 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78879 + ... + 621249.

Almost surely, 2^189864561744 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 189864561744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330486784992).

189864561744 is an abundant number, since it is smaller than the sum of its proper divisors (471109008240).

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

189864561744 is a wasteful number, since it uses less digits than its factorization.

189864561744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542426 (or 542417 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 189864561744 in words is "one hundred eighty-nine billion, eight hundred sixty-four million, five hundred sixty-one thousand, seven hundred forty-four".