18147114400 has 144 divisors (see below), whose sum is σ = 45179920800. Its totient is φ = 7116416000.

The previous prime is 18147114383. The next prime is 18147114407. The reversal of 18147114400 is 441174181.

It is a super-2 number, since 2×18147114400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18147114407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8644551 + ... + 8646649.

It is an arithmetic number, because the mean of its divisors is an integer number (313749450).

Almost surely, 2^18147114400 is an apocalyptic number.

18147114400 is a gapful number since it is divisible by the number (10) 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 18147114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589960400).

18147114400 is an abundant number, since it is smaller than the sum of its proper divisors (27032806400).

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

18147114400 is a wasteful number, since it uses less digits than its factorization.

18147114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

Adding to 18147114400 its reverse (441174181), we get a palindrome (18588288581).

The spelling of 18147114400 in words is "eighteen billion, one hundred forty-seven million, one hundred fourteen thousand, four hundred".