18281882849400 has 672 divisors, whose sum is σ = 64639005696000. Its totient is φ = 4805751824640.

The previous prime is 18281882849387. The next prime is 18281882849431. The reversal of 18281882849400 is 494828818281.

18281882849400 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 188 + 2 + 8 + 49 + 400 = 666.

It is a super-3 number, since 3×18281882849400³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12704573881 + ... + 12704575319.

Almost surely, 2^{18281882849400} is an apocalyptic number.

18281882849400 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 18281882849400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319502848000).

18281882849400 is an abundant number, since it is smaller than the sum of its proper divisors (46357122846600).

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

18281882849400 is a wasteful number, since it uses less digits than its factorization.

18281882849400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 63.

The spelling of 18281882849400 in words is "eighteen trillion, two hundred eighty-one billion, eight hundred eighty-two million, eight hundred forty-nine thousand, four hundred".