21248845528064 has 264 divisors, whose sum is σ = 53976215053872. Its totient is φ = 8267672125440.

The previous prime is 21248845528063. The next prime is 21248845528087. The reversal of 21248845528064 is 46082554884212.

It is a junction number, because it is equal to n+sod(n) for n = 21248845527994 and 21248845528012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21248845528063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417790124 + ... + 417840980.

Almost surely, 2^{21248845528064} 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 21248845528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26988107526936).

21248845528064 is an abundant number, since it is smaller than the sum of its proper divisors (32727369525808).

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

21248845528064 is a wasteful number, since it uses less digits than its factorization.

21248845528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51659 (or 51634 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 59.

The spelling of 21248845528064 in words is "twenty-one trillion, two hundred forty-eight billion, eight hundred forty-five million, five hundred twenty-eight thousand, sixty-four".