8821635648 has 224 divisors, whose sum is σ = 29473818624. Its totient is φ = 2268930048.

The previous prime is 8821635643. The next prime is 8821635653. The reversal of 8821635648 is 8465361288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8821635643) and next prime (8821635653).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 8821635648.

It is not an unprimeable number, because it can be changed into a prime (8821635643) 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, 517111 + ... + 533897.

Almost surely, 2^8821635648 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 8821635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736909312).

8821635648 is an abundant number, since it is smaller than the sum of its proper divisors (20652182976).

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

8821635648 is a wasteful number, since it uses less digits than its factorization.

8821635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16849 (or 16839 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 8821635648 is about 93923.5627944341. The cubic root of 8821635648 is about 2066.2508196025.

The spelling of 8821635648 in words is "eight billion, eight hundred twenty-one million, six hundred thirty-five thousand, six hundred forty-eight".