185218336900 has 27 divisors (see below), whose sum is σ = 401933130319. Its totient is φ = 74085613280.

The previous prime is 185218336871. The next prime is 185218336907. The reversal of 185218336900 is 9633812581.

The square root of 185218336900 is 430370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 99935647876 + 85282689024 = 316126^2 + 292032^2 .

It is a super-2 number, since 2×185218336900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (185218336907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4282182 + ... + 4325218.

Almost surely, 2^185218336900 is an apocalyptic number.

185218336900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

185218336900 is the 430370-th square number.

It is an amenable number.

185218336900 is an abundant number, since it is smaller than the sum of its proper divisors (216714793419).

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

185218336900 is an frugal number, since it uses more digits than its factorization.

185218336900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86088 (or 43044 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 185218336900 in words is "one hundred eighty-five billion, two hundred eighteen million, three hundred thirty-six thousand, nine hundred".