18114468100 has 81 divisors (see below), whose sum is σ = 40372789023. Its totient is φ = 7054669440.

The previous prime is 18114468059. The next prime is 18114468107. The reversal of 18114468100 is 186441181.

The square root of 18114468100 is 134590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10176370884 + 7938097216 = 100878^2 + 89096^2 .

It is a super-2 number, since 2×18114468100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18114468107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57873544 + ... + 57873856.

Almost surely, 2^18114468100 is an apocalyptic number.

18114468100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18114468100 is the 134590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18114468100

18114468100 is an abundant number, since it is smaller than the sum of its proper divisors (22258320923).

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

18114468100 is an equidigital number, since it uses as much as digits as its factorization.

18114468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 18114468100 in words is "eighteen billion, one hundred fourteen million, four hundred sixty-eight thousand, one hundred".