1422844800768 has 144 divisors (see below), whose sum is σ = 4227547968000. Its totient is φ = 472033336320.

The previous prime is 1422844800763. The next prime is 1422844800781. The reversal of 1422844800768 is 8670084482241.

1422844800768 is a `hidden beast` number, since 1 + 4 + 22 + 84 + 480 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1422844800768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422844800763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970633 + ... + 1946231.

It is an arithmetic number, because the mean of its divisors is an integer number (29357972000).

Almost surely, 2^{1422844800768} is an apocalyptic number.

1422844800768 is a gapful number since it is divisible by the number (18) 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 1422844800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113773984000).

1422844800768 is an abundant number, since it is smaller than the sum of its proper divisors (2804703167232).

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

1422844800768 is an equidigital number, since it uses as much as digits as its factorization.

1422844800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975835 (or 975815 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 1422844800768 in words is "one trillion, four hundred twenty-two billion, eight hundred forty-four million, eight hundred thousand, seven hundred sixty-eight".