18542581005312 has 3520 divisors, whose sum is σ = 77273398185984. Its totient is φ = 4288350781440.

The previous prime is 18542581005293. The next prime is 18542581005359. The reversal of 18542581005312 is 21350018524581.

It is a happy number.

18542581005312 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 2 + 5 + 8 + 100 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 180025058253 + ... + 180025058355.

Almost surely, 2^{18542581005312} is an apocalyptic number.

18542581005312 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 18542581005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38636699092992).

18542581005312 is an abundant number, since it is smaller than the sum of its proper divisors (58730817180672).

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

18542581005312 is a wasteful number, since it uses less digits than its factorization.

18542581005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

Adding to 18542581005312 its reverse (21350018524581), we get a palindrome (39892599529893).

The spelling of 18542581005312 in words is "eighteen trillion, five hundred forty-two billion, five hundred eighty-one million, five thousand, three hundred twelve".