306144361800 has 144 divisors (see below), whose sum is σ = 1028295436740. Its totient is φ = 81625743360.

The previous prime is 306144361781. The next prime is 306144361801. The reversal of 306144361800 is 8163441603.

It is a happy number.

306144361800 is a `hidden beast` number, since 3 + 0 + 614 + 4 + 36 + 1 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 253949476356 + 52194885444 = 503934^2 + 228462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (306144361801) 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 35 ways as a sum of consecutive naturals, for example, 19347492 + ... + 19363308.

Almost surely, 2^306144361800 is an apocalyptic number.

306144361800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306144361800 is an abundant number, since it is smaller than the sum of its proper divisors (722151074940).

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

306144361800 is a wasteful number, since it uses less digits than its factorization.

306144361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26592 (or 26580 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 306144361800 in words is "three hundred six billion, one hundred forty-four million, three hundred sixty-one thousand, eight hundred".