21124784493648 has 480 divisors, whose sum is σ = 65600722392192. Its totient is φ = 6292773273600.

The previous prime is 21124784493623. The next prime is 21124784493653. The reversal of 21124784493648 is 84639448742112.

21124784493648 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 4 + 7 + 84 + 493 + 64 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21622092136 + ... + 21622093112.

Almost surely, 2^{21124784493648} 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 21124784493648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32800361196096).

21124784493648 is an abundant number, since it is smaller than the sum of its proper divisors (44475937898544).

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

21124784493648 is a wasteful number, since it uses less digits than its factorization.

21124784493648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1954 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 21124784493648 in words is "twenty-one trillion, one hundred twenty-four billion, seven hundred eighty-four million, four hundred ninety-three thousand, six hundred forty-eight".