22416078400 has 189 divisors, whose sum is σ = 58510382979. Its totient is φ = 8451394560.

The previous prime is 22416078367. The next prime is 22416078427. The reversal of 22416078400 is 487061422.

It is a happy number.

The square root of 22416078400 is 149720.

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 5169034816 + 17247043584 = 71896^2 + 131328^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113787102 + ... + 113787298.

Almost surely, 2^22416078400 is an apocalyptic number.

22416078400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22416078400 is the 149720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22416078400

22416078400 is an abundant number, since it is smaller than the sum of its proper divisors (36094304579).

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

22416078400 is an equidigital number, since it uses as much as digits as its factorization.

22416078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 22416078400 in words is "twenty-two billion, four hundred sixteen million, seventy-eight thousand, four hundred".