18812763648 has 240 divisors, whose sum is σ = 64781188560. Its totient is φ = 5374881792.

The previous prime is 18812763637. The next prime is 18812763653. The reversal of 18812763648 is 84636721881.

18812763648 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 276 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18812763594 and 18812763603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663490 + ... + 691262.

It is an arithmetic number, because the mean of its divisors is an integer number (269921619).

Almost surely, 2^18812763648 is an apocalyptic number.

18812763648 is a gapful number since it is divisible by the number (18) 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 18812763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32390594280).

18812763648 is an abundant number, since it is smaller than the sum of its proper divisors (45968424912).

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

18812763648 is an equidigital number, since it uses as much as digits as its factorization.

18812763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27814 (or 27785 counting only the distinct ones).

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

The spelling of 18812763648 in words is "eighteen billion, eight hundred twelve million, seven hundred sixty-three thousand, six hundred forty-eight".