189218040064 has 81 divisors (see below), whose sum is σ = 390719261961. Its totient is φ = 91452718080.

The previous prime is 189218040059. The next prime is 189218040073. The reversal of 189218040064 is 460040812981.

The square root of 189218040064 is 434992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159424518400 + 29793521664 = 399280^2 + 172608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 189218040064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 215755594 + ... + 215756470.

Almost surely, 2^189218040064 is an apocalyptic number.

189218040064 is the 434992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189218040064

189218040064 is an abundant number, since it is smaller than the sum of its proper divisors (201501221897).

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

189218040064 is an frugal number, since it uses more digits than its factorization.

189218040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 189218040064 in words is "one hundred eighty-nine billion, two hundred eighteen million, forty thousand, sixty-four".