18733635648 has 336 divisors, whose sum is σ = 66407076736. Its totient is φ = 4916920320.

The previous prime is 18733635647. The next prime is 18733635659. The reversal of 18733635648 is 84653633781.

18733635648 is a `hidden beast` number, since 1 + 8 + 73 + 3 + 6 + 3 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 18733635594 and 18733635603.

It is not an unprimeable number, because it can be changed into a prime (18733635647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12631515 + ... + 12632997.

Almost surely, 2^18733635648 is an apocalyptic number.

18733635648 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 18733635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203538368).

18733635648 is an abundant number, since it is smaller than the sum of its proper divisors (47673441088).

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

18733635648 is a wasteful number, since it uses less digits than its factorization.

18733635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1749 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 18733635648 in words is "eighteen billion, seven hundred thirty-three million, six hundred thirty-five thousand, six hundred forty-eight".