22270405716288 has 420 divisors, whose sum is σ = 70189856795520. Its totient is φ = 6980653191168.

The previous prime is 22270405716277. The next prime is 22270405716343. The reversal of 22270405716288 is 88261750407222.

It is a happy number.

22270405716288 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 0 + 4 + 0 + 5 + 7 + 1 + 628 + 8 = 666.

It is a super-3 number, since 3×22270405716288³ (a number of 41 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1886197681 + ... + 1886209487.

It is an arithmetic number, because the mean of its divisors is an integer number (167118706656).

Almost surely, 2^{22270405716288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22270405716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35094928397760).

22270405716288 is an abundant number, since it is smaller than the sum of its proper divisors (47919451079232).

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

22270405716288 is a wasteful number, since it uses less digits than its factorization.

22270405716288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 22270405716288 in words is "twenty-two trillion, two hundred seventy billion, four hundred five million, seven hundred sixteen thousand, two hundred eighty-eight".