21434885568 has 168 divisors, whose sum is σ = 64933037520. Its totient is φ = 6741688320.

The previous prime is 21434885501. The next prime is 21434885609. The reversal of 21434885568 is 86558843412.

21434885568 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 4 + 88 + 556 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2808798 + ... + 2816418.

Almost surely, 2^21434885568 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 21434885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32466518760).

21434885568 is an abundant number, since it is smaller than the sum of its proper divisors (43498151952).

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

21434885568 is a wasteful number, since it uses less digits than its factorization.

21434885568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915 (or 7902 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 21434885568 in words is "twenty-one billion, four hundred thirty-four million, eight hundred eighty-five thousand, five hundred sixty-eight".