8880145435008 has 192 divisors, whose sum is σ = 26475621962400. Its totient is φ = 2853553618944.

The previous prime is 8880145435003. The next prime is 8880145435019. The reversal of 8880145435008 is 8005345410888.

8880145435008 is a `hidden beast` number, since 8 + 8 + 80 + 1 + 4 + 54 + 3 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8880145435003) 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, 21409560 + ... + 21820392.

Almost surely, 2^{8880145435008} 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 8880145435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13237810981200).

8880145435008 is an abundant number, since it is smaller than the sum of its proper divisors (17595476527392).

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

8880145435008 is a wasteful number, since it uses less digits than its factorization.

8880145435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411529 (or 411514 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 8880145435008 in words is "eight trillion, eight hundred eighty billion, one hundred forty-five million, four hundred thirty-five thousand, eight".