19648216459872 has 3072 divisors, whose sum is σ = 86032171008000. Its totient is φ = 4190251253760.

The previous prime is 19648216459843. The next prime is 19648216459891. The reversal of 19648216459872 is 27895461284691.

It is a happy number.

19648216459872 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 8 + 21 + 6 + 4 + 598 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19648216459872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 32801696629 + ... + 32801697227.

It is an arithmetic number, because the mean of its divisors is an integer number (28005264000).

Almost surely, 2^{19648216459872} is an apocalyptic number.

19648216459872 is a gapful number since it is divisible by the number (12) 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 19648216459872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43016085504000).

19648216459872 is an abundant number, since it is smaller than the sum of its proper divisors (66383954548128).

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

19648216459872 is a wasteful number, since it uses less digits than its factorization.

19648216459872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 772 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 19648216459872 in words is "nineteen trillion, six hundred forty-eight billion, two hundred sixteen million, four hundred fifty-nine thousand, eight hundred seventy-two".