21335453312 has 64 divisors (see below), whose sum is σ = 43043532840. Its totient is φ = 10532966400.

The previous prime is 21335453297. The next prime is 21335453317.

21335453312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 21308992576 + 26460736 = 145976^2 + 5144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21335453317) 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 7 ways as a sum of consecutive naturals, for example, 5130338 + ... + 5134494.

Almost surely, 2^21335453312 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 21335453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521766420).

21335453312 is an abundant number, since it is smaller than the sum of its proper divisors (21708079528).

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

21335453312 is a wasteful number, since it uses less digits than its factorization.

21335453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4657 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The spelling of 21335453312 in words is "twenty-one billion, three hundred thirty-five million, four hundred fifty-three thousand, three hundred twelve".