19416112128 has 528 divisors, whose sum is σ = 67810788864. Its totient is φ = 5434490880.

The previous prime is 19416112123. The next prime is 19416112159. The reversal of 19416112128 is 82121161491.

19416112128 is a `hidden beast` number, since 1 + 9 + 416 + 112 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19416112092 and 19416112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19416112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123669426 + ... + 123669582.

Almost surely, 2^19416112128 is an apocalyptic number.

19416112128 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 19416112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33905394432).

19416112128 is an abundant number, since it is smaller than the sum of its proper divisors (48394676736).

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

19416112128 is an equidigital number, since it uses as much as digits as its factorization.

19416112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The spelling of 19416112128 in words is "nineteen billion, four hundred sixteen million, one hundred twelve thousand, one hundred twenty-eight".