18224094807072 has 576 divisors, whose sum is σ = 67846883973120. Its totient is φ = 4623417792000.

The previous prime is 18224094807071. The next prime is 18224094807103. The reversal of 18224094807072 is 27070849042281.

18224094807072 is a `hidden beast` number, since 1 + 8 + 2 + 24 + 0 + 9 + 480 + 70 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18224094807071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122936197 + ... + 123084347.

It is an arithmetic number, because the mean of its divisors is an integer number (117789729120).

Almost surely, 2^{18224094807072} is an apocalyptic number.

18224094807072 is a gapful number since it is divisible by the number (12) 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 18224094807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33923441986560).

18224094807072 is an abundant number, since it is smaller than the sum of its proper divisors (49622789166048).

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

18224094807072 is a wasteful number, since it uses less digits than its factorization.

18224094807072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148274 (or 148217 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 18224094807072 in words is "eighteen trillion, two hundred twenty-four billion, ninety-four million, eight hundred seven thousand, seventy-two".