22455014400 has 1980 divisors, whose sum is σ = 110291058108. Its totient is φ = 4459069440.

The previous prime is 22455014371. The next prime is 22455014411. The reversal of 22455014400 is 441055422.

22455014400 is a `hidden beast` number, since 2 + 245 + 5 + 0 + 14 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 796594176 + 21658420224 = 28224^2 + 147168^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 1320883192 + ... + 1320883208.

Almost surely, 2^22455014400 is an apocalyptic number.

22455014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22455014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55145529054).

22455014400 is an abundant number, since it is smaller than the sum of its proper divisors (87836043708).

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

22455014400 is a wasteful number, since it uses less digits than its factorization.

22455014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 22455014400 its reverse (441055422), we get a palindrome (22896069822).

The spelling of 22455014400 in words is "twenty-two billion, four hundred fifty-five million, fourteen thousand, four hundred".