8918138880 has 504 divisors, whose sum is σ = 36641422272. Its totient is φ = 2038431744.

The previous prime is 8918138861. The next prime is 8918138941. The reversal of 8918138880 is 888318198.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ (2!)¹⁰.

8918138880 is a `hidden beast` number, since 8 + 9 + 181 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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, 1274019837 + ... + 1274019843.

Almost surely, 2^8918138880 is an apocalyptic number.

8918138880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8918138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320711136).

8918138880 is an abundant number, since it is smaller than the sum of its proper divisors (27723283392).

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

8918138880 is an frugal number, since it uses more digits than its factorization.

8918138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The square root of 8918138880 is about 94435.8982590837. The cubic root of 8918138880 is about 2073.7580126502.

The spelling of 8918138880 in words is "eight billion, nine hundred eighteen million, one hundred thirty-eight thousand, eight hundred eighty".