18484549574400 has 2592 divisors, whose sum is σ = 85344738420480. Its totient is φ = 3880226488320.

The previous prime is 18484549574383. The next prime is 18484549574429. The reversal of 18484549574400 is 447594548481.

18484549574400 is a `hidden beast` number, since 1 + 8 + 4 + 8 + 4 + 54 + 9 + 574 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×18484549574400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33792594927 + ... + 33792595473.

Almost surely, 2^{18484549574400} is an apocalyptic number.

18484549574400 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 18484549574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672369210240).

18484549574400 is an abundant number, since it is smaller than the sum of its proper divisors (66860188846080).

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

18484549574400 is a wasteful number, since it uses less digits than its factorization.

18484549574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 18484549574400 in words is "eighteen trillion, four hundred eighty-four billion, five hundred forty-nine million, five hundred seventy-four thousand, four hundred".