186485516640900 has 135 divisors (see below), whose sum is σ = 604516355738911. Its totient is φ = 49729143360960.

The previous prime is 186485516640883. The next prime is 186485516640901. The reversal of 186485516640900 is 9046615584681.

The square root of 186485516640900 is 13655970.

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

186485516640900 is a `hidden beast` number, since 1 + 8 + 6 + 485 + 5 + 1 + 6 + 64 + 0 + 90 + 0 = 666.

186485516640900 is digitally balanced in base 3, 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 4 ways, for example, as 3371358687876 + 183114157953024 = 1836126^2 + 13531968^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186485516640901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1228961434 + ... + 1229113166.

Almost surely, 2^{186485516640900} is an apocalyptic number.

186485516640900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

186485516640900 is the 13655970-th square number.

It is an amenable number.

186485516640900 is an abundant number, since it is smaller than the sum of its proper divisors (418030839098011).

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

186485516640900 is an frugal number, since it uses more digits than its factorization.

186485516640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303492 (or 151743 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 186485516640900 in words is "one hundred eighty-six trillion, four hundred eighty-five billion, five hundred sixteen million, six hundred forty thousand, nine hundred".