19268663616 has 168 divisors, whose sum is σ = 57431818080. Its totient is φ = 6405391872.

The previous prime is 19268663599. The next prime is 19268663627. The reversal of 19268663616 is 61636686291.

19268663616 is a `hidden beast` number, since 19 + 2 + 6 + 8 + 6 + 6 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6514810 + ... + 6517766.

It is an arithmetic number, because the mean of its divisors is an integer number (341856060).

Almost surely, 2^19268663616 is an apocalyptic number.

19268663616 is a gapful number since it is divisible by the number (16) 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 19268663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28715909040).

19268663616 is an abundant number, since it is smaller than the sum of its proper divisors (38163154464).

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

19268663616 is an equidigital number, since it uses as much as digits as its factorization.

19268663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3381 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 19268663616 in words is "nineteen billion, two hundred sixty-eight million, six hundred sixty-three thousand, six hundred sixteen".