8649920932224 has 384 divisors, whose sum is σ = 27162560113920. Its totient is φ = 2417682309120.

The previous prime is 8649920932157. The next prime is 8649920932249. The reversal of 8649920932224 is 4222390299468.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8649920932224² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101475882 + ... + 1101483734.

It is an arithmetic number, because the mean of its divisors is an integer number (70735833630).

Almost surely, 2^{8649920932224} 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 8649920932224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581280056960).

8649920932224 is an abundant number, since it is smaller than the sum of its proper divisors (18512639181696).

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

8649920932224 is a wasteful number, since it uses less digits than its factorization.

8649920932224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 8649920932224 in words is "eight trillion, six hundred forty-nine billion, nine hundred twenty million, nine hundred thirty-two thousand, two hundred twenty-four".