18119228400 has 1440 divisors, whose sum is σ = 84624583680. Its totient is φ = 3483648000.

The previous prime is 18119228399. The next prime is 18119228423. The reversal of 18119228400 is 482291181.

It is a happy number.

18119228400 is a `hidden beast` number, since 18 + 1 + 19 + 228 + 400 = 666.

It is a super-2 number, since 2×18119228400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 255200365 + ... + 255200435.

It is an arithmetic number, because the mean of its divisors is an integer number (58767072).

Almost surely, 2^18119228400 is an apocalyptic number.

18119228400 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 18119228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312291840).

18119228400 is an abundant number, since it is smaller than the sum of its proper divisors (66505355280).

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

18119228400 is a wasteful number, since it uses less digits than its factorization.

18119228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18119228400 in words is "eighteen billion, one hundred nineteen million, two hundred twenty-eight thousand, four hundred".