21343434312 has 128 divisors (see below), whose sum is σ = 61079011200. Its totient is φ = 6172028928.

The previous prime is 21343434283. The next prime is 21343434317.

It is a happy number.

21343434312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21343434312.

It is not an unprimeable number, because it can be changed into a prime (21343434317) 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, 249618 + ... + 324030.

It is an arithmetic number, because the mean of its divisors is an integer number (477179775).

Almost surely, 2^21343434312 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 21343434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30539505600).

21343434312 is an abundant number, since it is smaller than the sum of its proper divisors (39735576888).

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

21343434312 is a wasteful number, since it uses less digits than its factorization.

21343434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74495 (or 74491 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The spelling of 21343434312 in words is "twenty-one billion, three hundred forty-three million, four hundred thirty-four thousand, three hundred twelve".