9883164564 has 288 divisors, whose sum is σ = 33793065600. Its totient is φ = 2469035520.

The previous prime is 9883164563. The next prime is 9883164611. The reversal of 9883164564 is 4654613889.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9883164564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9883164563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1303344 + ... + 1310904.

Almost surely, 2^9883164564 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 9883164564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896532800).

9883164564 is an abundant number, since it is smaller than the sum of its proper divisors (23909901036).

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

9883164564 is a wasteful number, since it uses less digits than its factorization.

9883164564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620 (or 7605 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 9883164564 is about 99414.1064638213. The cubic root of 9883164564 is about 2146.0113222180.

The spelling of 9883164564 in words is "nine billion, eight hundred eighty-three million, one hundred sixty-four thousand, five hundred sixty-four".