186045341300 has 108 divisors (see below), whose sum is σ = 505757277900. Its totient is φ = 58880263680.

The previous prime is 186045341297. The next prime is 186045341323. The reversal of 186045341300 is 3143540681.

186045341300 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 6 ways, for example, as 39979202704 + 146066138596 = 199948^2 + 382186^2 .

It is a super-2 number, since 2×186045341300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1396625 + ... + 1524024.

Almost surely, 2^186045341300 is an apocalyptic number.

186045341300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

186045341300 is an abundant number, since it is smaller than the sum of its proper divisors (319711936600).

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

186045341300 is a wasteful number, since it uses less digits than its factorization.

186045341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920690 (or 2920676 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 186045341300 its reverse (3143540681), we get a palindrome (189188881981).

The spelling of 186045341300 in words is "one hundred eighty-six billion, forty-five million, three hundred forty-one thousand, three hundred".