8918100000 has 432 divisors, whose sum is σ = 32962640256. Its totient is φ = 2371680000.

The previous prime is 8918099947. The next prime is 8918100011. The reversal of 8918100000 is 18198.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8918100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 24299817 + ... + 24300183.

It is an arithmetic number, because the mean of its divisors is an integer number (76302408).

Almost surely, 2^8918100000 is an apocalyptic number.

8918100000 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 8918100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481320128).

8918100000 is an abundant number, since it is smaller than the sum of its proper divisors (24044540256).

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

8918100000 is an frugal number, since it uses more digits than its factorization.

8918100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8918100000 is about 94435.6924049377. The cubic root of 8918100000 is about 2073.7549990233.

Adding to 8918100000 its reverse (18198), we get a palindrome (8918118198).

The spelling of 8918100000 in words is "eight billion, nine hundred eighteen million, one hundred thousand".