18982611648 has 1008 divisors, whose sum is σ = 76435963968. Its totient is φ = 4379443200.

The previous prime is 18982611629. The next prime is 18982611653. The reversal of 18982611648 is 84611628981.

It is a happy number.

18982611648 is a `hidden beast` number, since 18 + 9 + 8 + 2 + 611 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 18982611594 and 18982611603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260035740 + ... + 260035812.

Almost surely, 2^18982611648 is an apocalyptic number.

18982611648 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 18982611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38217981984).

18982611648 is an abundant number, since it is smaller than the sum of its proper divisors (57453352320).

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

18982611648 is a wasteful number, since it uses less digits than its factorization.

18982611648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 18982611648 in words is "eighteen billion, nine hundred eighty-two million, six hundred eleven thousand, six hundred forty-eight".