8100000018 has 48 divisors (see below), whose sum is σ = 19176674400. Its totient is φ = 2450543040.

The previous prime is 8099999993. The next prime is 8100000023.

It is a happy number.

8100000018 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8100000018² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

8100000018 is a strobogrammatic number because it is the same when read upside-down.

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, 89518 + ... + 155606.

It is an arithmetic number, because the mean of its divisors is an integer number (399514050).

Almost surely, 2^8100000018 is an apocalyptic number.

8100000018 is an abundant number, since it is smaller than the sum of its proper divisors (11076674382).

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

8100000018 is a wasteful number, since it uses less digits than its factorization.

8100000018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66727 (or 66724 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8100000018 is about 90000.0001000000. Note that the first 3 decimals coincide. The cubic root of 8100000018 is about 2008.2988517341.

Subtracting from 8100000018 its sum of digits (18), we obtain a 4-th power (8100000000 = 300⁴).

It can be divided in two parts, 81000000 and 18, that added together give a palindrome (81000018).

The spelling of 8100000018 in words is "eight billion, one hundred million, eighteen", and thus it is an aban number.