8952467184 has 120 divisors (see below), whose sum is σ = 25920960000. Its totient is φ = 2881388160.

The previous prime is 8952467179. The next prime is 8952467231. The reversal of 8952467184 is 4817642598.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8952467184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2225527 + ... + 2229545.

It is an arithmetic number, because the mean of its divisors is an integer number (216008000).

Almost surely, 2^8952467184 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 8952467184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960480000).

8952467184 is an abundant number, since it is smaller than the sum of its proper divisors (16968492816).

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

8952467184 is a wasteful number, since it uses less digits than its factorization.

8952467184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4554 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8952467184 is about 94617.4782162366. The cubic root of 8952467184 is about 2076.4154224509.

The spelling of 8952467184 in words is "eight billion, nine hundred fifty-two million, four hundred sixty-seven thousand, one hundred eighty-four".