18231350400 has 480 divisors, whose sum is σ = 69132355380. Its totient is φ = 4727808000.

The previous prime is 18231350381. The next prime is 18231350411. The reversal of 18231350400 is 405313281.

It is a happy number.

18231350400 is a `hidden beast` number, since 182 + 31 + 3 + 50 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6238472256 + 11992878144 = 78984^2 + 109512^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9589450 + ... + 9591350.

Almost surely, 2^18231350400 is an apocalyptic number.

18231350400 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 18231350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34566177690).

18231350400 is an abundant number, since it is smaller than the sum of its proper divisors (50901004980).

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

18231350400 is a wasteful number, since it uses less digits than its factorization.

18231350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 18231350400 its reverse (405313281), we get a palindrome (18636663681).

The spelling of 18231350400 in words is "eighteen billion, two hundred thirty-one million, three hundred fifty thousand, four hundred".