21226442542144 has 112 divisors (see below), whose sum is σ = 50121056797056. Its totient is φ = 8729672601600.

The previous prime is 21226442542121. The next prime is 21226442542159. The reversal of 21226442542144 is 44124524462212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21226442542144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21226442542144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8351854 + ... + 10592749.

It is an arithmetic number, because the mean of its divisors is an integer number (447509435688).

Almost surely, 2^{21226442542144} is an apocalyptic number.

It is an amenable number.

21226442542144 is an abundant number, since it is smaller than the sum of its proper divisors (28894614254912).

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

21226442542144 is a wasteful number, since it uses less digits than its factorization.

21226442542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944724 (or 18944714 counting only the distinct ones).

The product of its digits is 983040, while the sum is 43.

The spelling of 21226442542144 in words is "twenty-one trillion, two hundred twenty-six billion, four hundred forty-two million, five hundred forty-two thousand, one hundred forty-four".