9891147622464 has 448 divisors, whose sum is σ = 30964246732800. Its totient is φ = 3091476326400.

The previous prime is 9891147622457. The next prime is 9891147622469. The reversal of 9891147622464 is 4642267411989.

9891147622464 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 147 + 6 + 22 + 464 = 666.

9891147622464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9891147622469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218909827 + ... + 218955005.

Almost surely, 2^{9891147622464} 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 9891147622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482123366400).

9891147622464 is an abundant number, since it is smaller than the sum of its proper divisors (21073099110336).

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

9891147622464 is a wasteful number, since it uses less digits than its factorization.

9891147622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45359 (or 45343 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 9891147622464 in words is "nine trillion, eight hundred ninety-one billion, one hundred forty-seven million, six hundred twenty-two thousand, four hundred sixty-four".