22545118348900 has 243 divisors, whose sum is σ = 58965624584139. Its totient is φ = 7460020821120.

The previous prime is 22545118348897. The next prime is 22545118348919. The reversal of 22545118348900 is 984381154522.

It is a happy number.

The square root of 22545118348900 is 4748170.

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 309894849124 + 22235223499776 = 556682^2 + 4715424^2 .

It is a super-2 number, since 2×22545118348900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 9638783931 + ... + 9638786269.

Almost surely, 2^{22545118348900} is an apocalyptic number.

22545118348900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22545118348900 is the 4748170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22545118348900

22545118348900 is an abundant number, since it is smaller than the sum of its proper divisors (36420506235239).

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

22545118348900 is an equidigital number, since it uses as much as digits as its factorization.

22545118348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 22545118348900 in words is "twenty-two trillion, five hundred forty-five billion, one hundred eighteen million, three hundred forty-eight thousand, nine hundred".