18787643848512 has 2016 divisors, whose sum is σ = 74385866813440. Its totient is φ = 4589382758400.

The previous prime is 18787643848469. The next prime is 18787643848513. The reversal of 18787643848512 is 21584834678781.

18787643848512 is a `hidden beast` number, since 1 + 8 + 7 + 8 + 7 + 64 + 3 + 8 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×18787643848512² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18787643848513) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67825428918 + ... + 67825429194.

Almost surely, 2^{18787643848512} is an apocalyptic number.

18787643848512 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 18787643848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37192933406720).

18787643848512 is an abundant number, since it is smaller than the sum of its proper divisors (55598222964928).

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

18787643848512 is a wasteful number, since it uses less digits than its factorization.

18787643848512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 590 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 18787643848512 in words is "eighteen trillion, seven hundred eighty-seven billion, six hundred forty-three million, eight hundred forty-eight thousand, five hundred twelve".