186934713173649 has 27 divisors (see below), whose sum is σ = 314101667161737. Its totient is φ = 106819672030344.

The previous prime is 186934713173591. The next prime is 186934713173669. The reversal of 186934713173649 is 946371317439681.

The square root of 186934713173649 is 13672407.

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

186934713173649 is a `hidden beast` number, since 1 + 8 + 6 + 93 + 47 + 131 + 7 + 364 + 9 = 666.

It is not a de Polignac number, because 186934713173649 - 2⁷ = 186934713173521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (186934713173669) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 286795014 + ... + 287446080.

Almost surely, 2^{186934713173649} is an apocalyptic number.

186934713173649 is the 13672407-th square number.

186934713173649 is the 6836204-th centered octagonal number.

It is an amenable number.

186934713173649 is a deficient number, since it is larger than the sum of its proper divisors (127166953988088).

186934713173649 is an frugal number, since it uses more digits than its factorization.

186934713173649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302154 (or 651077 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 186934713173649 in words is "one hundred eighty-six trillion, nine hundred thirty-four billion, seven hundred thirteen million, one hundred seventy-three thousand, six hundred forty-nine".