21341145333312 has 168 divisors, whose sum is σ = 69914873014272. Its totient is φ = 6096974284800.

The previous prime is 21341145333301. The next prime is 21341145333323. The reversal of 21341145333312 is 21333354114312.

21341145333312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 1 + 4 + 5 + 333 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (21341145333301) and next prime (21341145333323).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50880612 + ... + 51298332.

Almost surely, 2^{21341145333312} 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 21341145333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957436507136).

21341145333312 is an abundant number, since it is smaller than the sum of its proper divisors (48573727680960).

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

21341145333312 is a wasteful number, since it uses less digits than its factorization.

21341145333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430417 (or 430404 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 21341145333312 its reverse (21333354114312), we get a palindrome (42674499447624).

The spelling of 21341145333312 in words is "twenty-one trillion, three hundred forty-one billion, one hundred forty-five million, three hundred thirty-three thousand, three hundred twelve".