18812732163840 has 648 divisors, whose sum is σ = 67683206839248. Its totient is φ = 5009824235520.

The previous prime is 18812732163839. The next prime is 18812732163857. The reversal of 18812732163840 is 4836123721881.

18812732163840 is a `hidden beast` number, since 1 + 8 + 81 + 273 + 216 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×18812732163840³ (a number of 41 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9834150724 + ... + 9834152636.

Almost surely, 2^{18812732163840} is an apocalyptic number.

18812732163840 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 18812732163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841603419624).

18812732163840 is an abundant number, since it is smaller than the sum of its proper divisors (48870474675408).

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

18812732163840 is an frugal number, since it uses more digits than its factorization.

18812732163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 18812732163840 in words is "eighteen trillion, eight hundred twelve billion, seven hundred thirty-two million, one hundred sixty-three thousand, eight hundred forty".