22419988250625 has 405 divisors, whose sum is σ = 48911035304703. Its totient is φ = 9863899920000.

The previous prime is 22419988250599. The next prime is 22419988250629. The reversal of 22419988250625 is 52605288991422.

It is a happy number.

The square root of 22419988250625 is 4734975.

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

22419988250625 is a `hidden beast` number, since 2 + 2 + 4 + 19 + 98 + 8 + 2 + 506 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 16768509033969 + 5651479216656 = 4094937^2 + 2377284^2 .

It is not a de Polignac number, because 22419988250625 - 2¹¹ = 22419988248577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22419988250629) 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 404 ways as a sum of consecutive naturals, for example, 72089994220 + ... + 72089994530.

Almost surely, 2^{22419988250625} is an apocalyptic number.

22419988250625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22419988250625 is the 4734975-th square number.

22419988250625 is the 2367488-th centered octagonal number.

It is an amenable number.

22419988250625 is an abundant number, since it is smaller than the sum of its proper divisors (26491047054078).

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

22419988250625 is an frugal number, since it uses more digits than its factorization.

22419988250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 22419988250625 in words is "twenty-two trillion, four hundred nineteen billion, nine hundred eighty-eight million, two hundred fifty thousand, six hundred twenty-five".