21003322144752 has 280 divisors, whose sum is σ = 63560542333680. Its totient is φ = 6714571023360.

The previous prime is 21003322144747. The next prime is 21003322144817. The reversal of 21003322144752 is 25744122330012.

21003322144752 is a `hidden beast` number, since 2 + 100 + 332 + 214 + 4 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×21003322144752² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27843018 + ... + 28587414.

It is an arithmetic number, because the mean of its divisors is an integer number (227001936906).

Almost surely, 2^{21003322144752} 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 21003322144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31780271166840).

21003322144752 is an abundant number, since it is smaller than the sum of its proper divisors (42557220188928).

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

21003322144752 is an equidigital number, since it uses as much as digits as its factorization.

21003322144752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744523 (or 744502 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 21003322144752 its reverse (25744122330012), we get a palindrome (46747444474764).

The spelling of 21003322144752 in words is "twenty-one trillion, three billion, three hundred twenty-two million, one hundred forty-four thousand, seven hundred fifty-two".