9963549216 has 144 divisors (see below), whose sum is σ = 29619705024. Its totient is φ = 3170990592.

The previous prime is 9963549179. The next prime is 9963549217. The reversal of 9963549216 is 6129453699.

9963549216 is a `hidden beast` number, since 9 + 96 + 3 + 549 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9963549217) 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, 5013375 + ... + 5015361.

It is an arithmetic number, because the mean of its divisors is an integer number (205692396).

Almost surely, 2^9963549216 is an apocalyptic number.

9963549216 is a gapful number since it is divisible by the number (96) 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 9963549216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809852512).

9963549216 is an abundant number, since it is smaller than the sum of its proper divisors (19656155808).

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

9963549216 is a wasteful number, since it uses less digits than its factorization.

9963549216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 9963549216 is about 99817.5796941601. The cubic root of 9963549216 is about 2151.8138085573.

The spelling of 9963549216 in words is "nine billion, nine hundred sixty-three million, five hundred forty-nine thousand, two hundred sixteen".