545633368900 has 27 divisors (see below), whose sum is σ = 1184040439869. Its totient is φ = 218250392880.

The previous prime is 545633368897. The next prime is 545633368939. The reversal of 545633368900 is 9863336545.

It is a happy number.

The square root of 545633368900 is 738670.

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

It can be written as a sum of positive squares in only one way, i.e., 196428012804 + 349205356096 = 443202^2 + 590936^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 7349767 + ... + 7423633.

Almost surely, 2^545633368900 is an apocalyptic number.

545633368900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

545633368900 is the 738670-th square number.

It is an amenable number.

545633368900 is an abundant number, since it is smaller than the sum of its proper divisors (638407070969).

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

545633368900 is an frugal number, since it uses more digits than its factorization.

545633368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147748 (or 73874 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 545633368900 in words is "five hundred forty-five billion, six hundred thirty-three million, three hundred sixty-eight thousand, nine hundred".