8953218144 has 384 divisors, whose sum is σ = 29059430400. Its totient is φ = 2664990720.

The previous prime is 8953218103. The next prime is 8953218151. The reversal of 8953218144 is 4418123598.

It is a Smith number, since the sum of its digits (45) 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 8953218144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82139562 + ... + 82139670.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 2^8953218144 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 8953218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529715200).

8953218144 is an abundant number, since it is smaller than the sum of its proper divisors (20106212256).

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

8953218144 is a wasteful number, since it uses less digits than its factorization.

8953218144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8953218144 is about 94621.4465330139. The cubic root of 8953218144 is about 2076.4734794943.

The spelling of 8953218144 in words is "eight billion, nine hundred fifty-three million, two hundred eighteen thousand, one hundred forty-four".