8880145344 has 504 divisors, whose sum is σ = 31535632128. Its totient is φ = 2469035520.

The previous prime is 8880145343. The next prime is 8880145357. The reversal of 8880145344 is 4435410888.

8880145344 is a `hidden beast` number, since 88 + 80 + 1 + 453 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 8880145344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8880145343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32767929 + ... + 32768199.

Almost surely, 2^8880145344 is an apocalyptic number.

8880145344 is a gapful number since it is divisible by the number (84) 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 8880145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767816064).

8880145344 is an abundant number, since it is smaller than the sum of its proper divisors (22655486784).

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

8880145344 is a wasteful number, since it uses less digits than its factorization.

8880145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8880145344 is about 94234.5231006132. The cubic root of 8880145344 is about 2070.8089088084.

The spelling of 8880145344 in words is "eight billion, eight hundred eighty million, one hundred forty-five thousand, three hundred forty-four".