189337820160064 has 63 divisors (see below), whose sum is σ = 377120678117943. Its totient is φ = 94316598835200.

The previous prime is 189337820160037. The next prime is 189337820160079. The reversal of 189337820160064 is 460061028733981.

The square root of 189337820160064 is 13760008.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12571222630464 + 176766597529600 = 3545592^2 + 13295360^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 189337820159990 and 189337820160008.

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, 30932494924 + ... + 30932501044.

Almost surely, 2^{189337820160064} is an apocalyptic number.

189337820160064 is the 13760008-th square number.

It is an amenable number.

189337820160064 is a deficient number, since it is larger than the sum of its proper divisors (187782857957879).

189337820160064 is an frugal number, since it uses more digits than its factorization.

189337820160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 189337820160064 in words is "one hundred eighty-nine trillion, three hundred thirty-seven billion, eight hundred twenty million, one hundred sixty thousand, sixty-four".