8947249558128 has 400 divisors, whose sum is σ = 31603522959360. Its totient is φ = 2388585024000.

The previous prime is 8947249558087. The next prime is 8947249558133. The reversal of 8947249558128 is 8218559427498.

8947249558128 is a `hidden beast` number, since 8 + 9 + 4 + 7 + 2 + 49 + 558 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7607203 + ... + 8704253.

Almost surely, 2^{8947249558128} 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 8947249558128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801761479680).

8947249558128 is an abundant number, since it is smaller than the sum of its proper divisors (22656273401232).

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

8947249558128 is a wasteful number, since it uses less digits than its factorization.

8947249558128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097138 (or 1097123 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 8947249558128 in words is "eight trillion, nine hundred forty-seven billion, two hundred forty-nine million, five hundred fifty-eight thousand, one hundred twenty-eight".