19838515648 has 112 divisors (see below), whose sum is σ = 46594678464. Its totient is φ = 8204451840.

The previous prime is 19838515643. The next prime is 19838515649. The reversal of 19838515648 is 84651583891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×19838515648³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19838515592 and 19838515601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19838515643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1441536 + ... + 1455232.

Almost surely, 2^19838515648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19838515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23297339232).

19838515648 is an abundant number, since it is smaller than the sum of its proper divisors (26756162816).

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

19838515648 is a wasteful number, since it uses less digits than its factorization.

19838515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13820 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 58.

The spelling of 19838515648 in words is "nineteen billion, eight hundred thirty-eight million, five hundred fifteen thousand, six hundred forty-eight".