21845048640 has 224 divisors, whose sum is σ = 71509737600. Its totient is φ = 5645869056.

The previous prime is 21845048633. The next prime is 21845048647. The reversal of 21845048640 is 4684054812.

It is an interprime number because it is at equal distance from previous prime (21845048633) and next prime (21845048647).

It is a junction number, because it is equal to n+sod(n) for n = 21845048592 and 21845048601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21845048647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10406311 + ... + 10408409.

It is an arithmetic number, because the mean of its divisors is an integer number (319239900).

Almost surely, 2^21845048640 is an apocalyptic number.

21845048640 is a gapful number since it is divisible by the number (20) 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 21845048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35754868800).

21845048640 is an abundant number, since it is smaller than the sum of its proper divisors (49664688960).

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

21845048640 is a wasteful number, since it uses less digits than its factorization.

21845048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 21845048640 in words is "twenty-one billion, eight hundred forty-five million, forty-eight thousand, six hundred forty".