8984845134720 has 3072 divisors, whose sum is σ = 41358287093760. Its totient is φ = 1745938022400.

The previous prime is 8984845134691. The next prime is 8984845134721. The reversal of 8984845134720 is 274315484898.

It is a happy number.

8984845134720 is a `hidden beast` number, since 8 + 9 + 8 + 48 + 4 + 513 + 4 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8984845134721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57228312882 + ... + 57228313038.

It is an arithmetic number, because the mean of its divisors is an integer number (13462984080).

Almost surely, 2^{8984845134720} is an apocalyptic number.

8984845134720 is a gapful number since it is divisible by the number (80) 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 8984845134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679143546880).

8984845134720 is an abundant number, since it is smaller than the sum of its proper divisors (32373441959040).

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

8984845134720 is a wasteful number, since it uses less digits than its factorization.

8984845134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8984845134720 in words is "eight trillion, nine hundred eighty-four billion, eight hundred forty-five million, one hundred thirty-four thousand, seven hundred twenty".