22284662400 has 1152 divisors, whose sum is σ = 106901907840. Its totient is φ = 4268851200.

The previous prime is 22284662383. The next prime is 22284662423. The reversal of 22284662400 is 426648222.

22284662400 is a `hidden beast` number, since 2 + 2 + 28 + 4 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 28828414 + ... + 28829186.

It is an arithmetic number, because the mean of its divisors is an integer number (92796795).

Almost surely, 2^22284662400 is an apocalyptic number.

22284662400 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 22284662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53450953920).

22284662400 is an abundant number, since it is smaller than the sum of its proper divisors (84617245440).

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

22284662400 is a wasteful number, since it uses less digits than its factorization.

22284662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22284662400 in words is "twenty-two billion, two hundred eighty-four million, six hundred sixty-two thousand, four hundred".