19832708224 has 64 divisors (see below), whose sum is σ = 45273507840. Its totient is φ = 8477392896.

The previous prime is 19832708221. The next prime is 19832708261. The reversal of 19832708224 is 42280723891.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (19832708221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314272 + ... + 372064.

It is an arithmetic number, because the mean of its divisors is an integer number (707398560).

Almost surely, 2^19832708224 is an apocalyptic number.

19832708224 is a gapful number since it is divisible by the number (14) 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 19832708224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636753920).

19832708224 is an abundant number, since it is smaller than the sum of its proper divisors (25440799616).

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

19832708224 is an equidigital number, since it uses as much as digits as its factorization.

19832708224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58197 (or 58185 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 19832708224 in words is "nineteen billion, eight hundred thirty-two million, seven hundred eight thousand, two hundred twenty-four".