18002174400000 has 1920 divisors, whose sum is σ = 77487290496000. Its totient is φ = 4041031680000.

The previous prime is 18002174399987. The next prime is 18002174400061. The reversal of 18002174400000 is 447120081.

18002174400000 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 217 + 440 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17841599496 + ... + 17841600504.

It is an arithmetic number, because the mean of its divisors is an integer number (40357963800).

Almost surely, 2^{18002174400000} is an apocalyptic number.

18002174400000 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 18002174400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38743645248000).

18002174400000 is an abundant number, since it is smaller than the sum of its proper divisors (59485116096000).

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

18002174400000 is an frugal number, since it uses more digits than its factorization.

18002174400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 18002174400000 in words is "eighteen trillion, two billion, one hundred seventy-four million, four hundred thousand".