22451222215422 has 768 divisors, whose sum is σ = 70120405555200. Its totient is φ = 5109379430400.

The previous prime is 22451222215393. The next prime is 22451222215447.

22451222215422 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 1 + 2 + 2 + 221 + 5 + 422 = 666.

22451222215422 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1339323613 + ... + 1339340375.

It is an arithmetic number, because the mean of its divisors is an integer number (91302611400).

Almost surely, 2^{22451222215422} is an apocalyptic number.

22451222215422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22451222215422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060202777600).

22451222215422 is an abundant number, since it is smaller than the sum of its proper divisors (47669183339778).

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

22451222215422 is a wasteful number, since it uses less digits than its factorization.

22451222215422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894 (or 16877 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 2245122 and 2215422, that added together give a square (4460544 = 2112²).

The spelling of 22451222215422 in words is "twenty-two trillion, four hundred fifty-one billion, two hundred twenty-two million, two hundred fifteen thousand, four hundred twenty-two".