8445404551168 has 192 divisors, whose sum is σ = 18829396404000. Its totient is φ = 3760140582912.

The previous prime is 8445404551141. The next prime is 8445404551217. The reversal of 8445404551168 is 8611554045448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009125288 + ... + 1009133656.

Almost surely, 2^{8445404551168} 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 8445404551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414698202000).

8445404551168 is an abundant number, since it is smaller than the sum of its proper divisors (10383991852832).

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

8445404551168 is a wasteful number, since it uses less digits than its factorization.

8445404551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 55.

The spelling of 8445404551168 in words is "eight trillion, four hundred forty-five billion, four hundred four million, five hundred fifty-one thousand, one hundred sixty-eight".