21224496384 has 432 divisors, whose sum is σ = 75889632000. Its totient is φ = 5588324352.

The previous prime is 21224496317. The next prime is 21224496427. The reversal of 21224496384 is 48369442212.

21224496384 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 4 + 9 + 638 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35432917 + ... + 35433515.

Almost surely, 2^21224496384 is an apocalyptic number.

21224496384 is a gapful number since it is divisible by the number (24) 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 21224496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944816000).

21224496384 is an abundant number, since it is smaller than the sum of its proper divisors (54665135616).

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

21224496384 is an equidigital number, since it uses as much as digits as its factorization.

21224496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 624 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 21224496384 in words is "twenty-one billion, two hundred twenty-four million, four hundred ninety-six thousand, three hundred eighty-four".