18309554988480 has 2688 divisors, whose sum is σ = 81458555904000. Its totient is φ = 3850963845120.

The previous prime is 18309554988479. The next prime is 18309554988493. The reversal of 18309554988480 is 8488945590381.

18309554988480 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 9 + 5 + 54 + 98 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18309554988399 and 18309554988408.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 27783846391 + ... + 27783847049.

Almost surely, 2^{18309554988480} is an apocalyptic number.

18309554988480 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 18309554988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40729277952000).

18309554988480 is an abundant number, since it is smaller than the sum of its proper divisors (63149000915520).

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

18309554988480 is a wasteful number, since it uses less digits than its factorization.

18309554988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 18309554988480 in words is "eighteen trillion, three hundred nine billion, five hundred fifty-four million, nine hundred eighty-eight thousand, four hundred eighty".