18468249174144 has 1344 divisors, whose sum is σ = 69732602197440. Its totient is φ = 4766750208000.

The previous prime is 18468249174107. The next prime is 18468249174161. The reversal of 18468249174144 is 44147194286481.

18468249174144 is a `hidden beast` number, since 1 + 8 + 4 + 68 + 2 + 491 + 7 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

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 167 ways as a sum of consecutive naturals, for example, 14305382139 + ... + 14305383429.

It is an arithmetic number, because the mean of its divisors is an integer number (51884376635).

Almost surely, 2^{18468249174144} is an apocalyptic number.

18468249174144 is a gapful number since it is divisible by the number (14) 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 18468249174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34866301098720).

18468249174144 is an abundant number, since it is smaller than the sum of its proper divisors (51264353023296).

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

18468249174144 is a wasteful number, since it uses less digits than its factorization.

18468249174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1495 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 18468249174144 in words is "eighteen trillion, four hundred sixty-eight billion, two hundred forty-nine million, one hundred seventy-four thousand, one hundred forty-four".