189678313140625 has 63 divisors (see below), whose sum is σ = 238608622782253. Its totient is φ = 150779961500000.

The previous prime is 189678313140619. The next prime is 189678313140643. The reversal of 189678313140625 is 526041313876981.

The square root of 189678313140625 is 13772375.

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

189678313140625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 127563990902929 + 62114322237696 = 11294423^2 + 7881264^2 .

It is not a de Polignac number, because 189678313140625 - 2²⁹ = 189677776269713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 411449702895 + ... + 411449703355.

It is a 1-persistent number, because it is pandigital, but 2⋅189678313140625 = 379356626281250 is not.

Almost surely, 2^{189678313140625} is an apocalyptic number.

189678313140625 is the 13772375-th square number.

189678313140625 is the 6886188-th centered octagonal number.

It is an amenable number.

189678313140625 is a deficient number, since it is larger than the sum of its proper divisors (48930309641628).

189678313140625 is an frugal number, since it uses more digits than its factorization.

189678313140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 189678313140625 in words is "one hundred eighty-nine trillion, six hundred seventy-eight billion, three hundred thirteen million, one hundred forty thousand, six hundred twenty-five".