21333744733312 has 128 divisors (see below), whose sum is σ = 46673438011200. Its totient is φ = 9632584765440.

The previous prime is 21333744733229. The next prime is 21333744733313.

21333744733312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21333744733312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21333744733313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 884875114 + ... + 884899222.

Almost surely, 2^{21333744733312} is an apocalyptic number.

21333744733312 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 21333744733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336719005600).

21333744733312 is an abundant number, since it is smaller than the sum of its proper divisors (25339693277888).

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

21333744733312 is a wasteful number, since it uses less digits than its factorization.

21333744733312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28294 (or 28282 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 46.

It can be divided in two parts, 2133374 and 4733312, that added together give a palindrome (6866686).

The spelling of 21333744733312 in words is "twenty-one trillion, three hundred thirty-three billion, seven hundred forty-four million, seven hundred thirty-three thousand, three hundred twelve".