18287264436480 has 2304 divisors, whose sum is σ = 81293248512000. Its totient is φ = 3838494375936.

The previous prime is 18287264436439. The next prime is 18287264436491. The reversal of 18287264436480 is 8463446278281.

It is a happy number.

18287264436480 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 7 + 264 + 4 + 364 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 3337698381 + ... + 3337703859.

It is an arithmetic number, because the mean of its divisors is an integer number (35283528000).

Almost surely, 2^{18287264436480} is an apocalyptic number.

18287264436480 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 18287264436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40646624256000).

18287264436480 is an abundant number, since it is smaller than the sum of its proper divisors (63005984075520).

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

18287264436480 is a wasteful number, since it uses less digits than its factorization.

18287264436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 18287264436480 in words is "eighteen trillion, two hundred eighty-seven billion, two hundred sixty-four million, four hundred thirty-six thousand, four hundred eighty".