21334566543312 has 320 divisors, whose sum is σ = 63418375249920. Its totient is φ = 6122416896000.

The previous prime is 21334566543229. The next prime is 21334566543337.

21334566543312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116323393 + ... + 116506655.

It is an arithmetic number, because the mean of its divisors is an integer number (198182422656).

Almost surely, 2^{21334566543312} is an apocalyptic number.

21334566543312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334566543312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709187624960).

21334566543312 is an abundant number, since it is smaller than the sum of its proper divisors (42083808706608).

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

21334566543312 is a wasteful number, since it uses less digits than its factorization.

21334566543312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183482 (or 183476 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

It can be divided in two parts, 2133456 and 6543312, that added together give a palindrome (8676768).

The spelling of 21334566543312 in words is "twenty-one trillion, three hundred thirty-four billion, five hundred sixty-six million, five hundred forty-three thousand, three hundred twelve".