21214583856 has 160 divisors (see below), whose sum is σ = 61421068800. Its totient is φ = 7010622720.

The previous prime is 21214583821. The next prime is 21214583857. The reversal of 21214583856 is 65838541212.

21214583856 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 583 + 8 + 56 = 666.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (21214583857) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36140395 + ... + 36140981.

It is an arithmetic number, because the mean of its divisors is an integer number (383881680).

Almost surely, 2^21214583856 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 21214583856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710534400).

21214583856 is an abundant number, since it is smaller than the sum of its proper divisors (40206484944).

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

21214583856 is a wasteful number, since it uses less digits than its factorization.

21214583856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 21214583856 in words is "twenty-one billion, two hundred fourteen million, five hundred eighty-three thousand, eight hundred fifty-six".