18482969318400 has 660 divisors, whose sum is σ = 70800501675420. Its totient is φ = 4758817996800.

The previous prime is 18482969318393. The next prime is 18482969318431. The reversal of 18482969318400 is 481396928481.

18482969318400 is a `hidden beast` number, since 1 + 8 + 48 + 2 + 96 + 93 + 18 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3272220509184 + 15210748809216 = 1808928^2 + 3900096^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59980720 + ... + 60288080.

It is an arithmetic number, because the mean of its divisors is an integer number (107273487387).

Almost surely, 2^{18482969318400} is an apocalyptic number.

18482969318400 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 18482969318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35400250837710).

18482969318400 is an abundant number, since it is smaller than the sum of its proper divisors (52317532357020).

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

18482969318400 is a wasteful number, since it uses less digits than its factorization.

18482969318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307432 (or 307400 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 18482969318400 in words is "eighteen trillion, four hundred eighty-two billion, nine hundred sixty-nine million, three hundred eighteen thousand, four hundred".