18448340198400 has 2640 divisors, whose sum is σ = 82910865269760. Its totient is φ = 3959414784000.

The previous prime is 18448340198363. The next prime is 18448340198413. The reversal of 18448340198400 is 489104384481.

18448340198400 is a `hidden beast` number, since 1 + 8 + 4 + 4 + 8 + 3 + 40 + 198 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 41644108579 + ... + 41644109021.

It is an arithmetic number, because the mean of its divisors is an integer number (31405630784).

Almost surely, 2^{18448340198400} is an apocalyptic number.

18448340198400 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 18448340198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41455432634880).

18448340198400 is an abundant number, since it is smaller than the sum of its proper divisors (64462525071360).

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

18448340198400 is a wasteful number, since it uses less digits than its factorization.

18448340198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18448340198400 in words is "eighteen trillion, four hundred forty-eight billion, three hundred forty million, one hundred ninety-eight thousand, four hundred".