22142914560 has 312 divisors, whose sum is σ = 82665734424. Its totient is φ = 5449973760.

The previous prime is 22142914537. The next prime is 22142914609. The reversal of 22142914560 is 6541924122.

It is a happy number.

22142914560 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 91 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4490072064 + 17652842496 = 67008^2 + 132864^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×22142914560² (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2391540 + ... + 2400780.

It is an arithmetic number, because the mean of its divisors is an integer number (264954277).

Almost surely, 2^22142914560 is an apocalyptic number.

22142914560 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 22142914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41332867212).

22142914560 is an abundant number, since it is smaller than the sum of its proper divisors (60522819864).

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

22142914560 is a wasteful number, since it uses less digits than its factorization.

22142914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22142914560 in words is "twenty-two billion, one hundred forty-two million, nine hundred fourteen thousand, five hundred sixty".