5918224900 has 135 divisors (see below), whose sum is σ = 15078116319. Its totient is φ = 2016181440.

The previous prime is 5918224889. The next prime is 5918224903. The reversal of 5918224900 is 94228195.

The square root of 5918224900 is 76930.

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 715776516 + 5202448384 = 26754^2 + 72128^2 .

It is not an unprimeable number, because it can be changed into a prime (5918224903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37695622 + ... + 37695778.

Almost surely, 2^5918224900 is an apocalyptic number.

5918224900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5918224900 is the 76930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5918224900

5918224900 is an abundant number, since it is smaller than the sum of its proper divisors (9159891419).

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

5918224900 is an equidigital number, since it uses as much as digits as its factorization.

5918224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The cubic root of 5918224900 is about 1808.8275120661.

The spelling of 5918224900 in words is "five billion, nine hundred eighteen million, two hundred twenty-four thousand, nine hundred".