18225563604480 has 480 divisors, whose sum is σ = 65549462378400. Its totient is φ = 4860029362176.

The previous prime is 18225563604431. The next prime is 18225563604491. The reversal of 18225563604480 is 8440636552281.

18225563604480 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 556 + 3 + 6 + 0 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453476226 + ... + 453516414.

It is an arithmetic number, because the mean of its divisors is an integer number (136561379955).

Almost surely, 2^{18225563604480} is an apocalyptic number.

18225563604480 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 18225563604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32774731189200).

18225563604480 is an abundant number, since it is smaller than the sum of its proper divisors (47323898773920).

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

18225563604480 is an frugal number, since it uses more digits than its factorization.

18225563604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40245 (or 40199 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 18225563604480 in words is "eighteen trillion, two hundred twenty-five billion, five hundred sixty-three million, six hundred four thousand, four hundred eighty".