8843167872 has 960 divisors, whose sum is σ = 35456097600. Its totient is φ = 2134978560.

The previous prime is 8843167759. The next prime is 8843167877. The reversal of 8843167872 is 2787613488.

It is a happy number.

8843167872 is a `hidden beast` number, since 88 + 431 + 67 + 8 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8843167877) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 166852198 + ... + 166852250.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^8843167872 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 8843167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728048800).

8843167872 is an abundant number, since it is smaller than the sum of its proper divisors (26612929728).

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

8843167872 is a wasteful number, since it uses less digits than its factorization.

8843167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 8843167872 is about 94038.1192495894. The cubic root of 8843167872 is about 2067.9305846626.

It can be divided in two parts, 8843 and 167872, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 8843167872 in words is "eight billion, eight hundred forty-three million, one hundred sixty-seven thousand, eight hundred seventy-two".