21124446336 has 384 divisors, whose sum is σ = 72647827200. Its totient is φ = 5764276224.

The previous prime is 21124446293. The next prime is 21124446337. The reversal of 21124446336 is 63364442112.

21124446336 is a `hidden beast` number, since 2 + 1 + 12 + 4 + 4 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 21124446336.

It is not an unprimeable number, because it can be changed into a prime (21124446337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24086730 + ... + 24087606.

It is an arithmetic number, because the mean of its divisors is an integer number (189187050).

Almost surely, 2^21124446336 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 21124446336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36323913600).

21124446336 is an abundant number, since it is smaller than the sum of its proper divisors (51523380864).

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

21124446336 is a wasteful number, since it uses less digits than its factorization.

21124446336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1021 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 21124446336 its reverse (63364442112), we get a palindrome (84488888448).

The spelling of 21124446336 in words is "twenty-one billion, one hundred twenty-four million, four hundred forty-six thousand, three hundred thirty-six".