19283436648 has 96 divisors (see below), whose sum is σ = 59784528960. Its totient is φ = 5500535040.

The previous prime is 19283436619. The next prime is 19283436649. The reversal of 19283436648 is 84663438291.

19283436648 is a `hidden beast` number, since 1 + 92 + 83 + 436 + 6 + 48 = 666.

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 = 19283436594 and 19283436603.

It is not an unprimeable number, because it can be changed into a prime (19283436649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 279963 + ... + 341973.

It is an arithmetic number, because the mean of its divisors is an integer number (622755510).

Almost surely, 2^19283436648 is an apocalyptic number.

19283436648 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 19283436648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892264480).

19283436648 is an abundant number, since it is smaller than the sum of its proper divisors (40501092312).

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

19283436648 is a wasteful number, since it uses less digits than its factorization.

19283436648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62647 (or 62640 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 19283436648 in words is "nineteen billion, two hundred eighty-three million, four hundred thirty-six thousand, six hundred forty-eight".