19146080256 has 288 divisors, whose sum is σ = 55867916160. Its totient is φ = 5813305344.

The previous prime is 19146080243. The next prime is 19146080297. The reversal of 19146080256 is 65208064191.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262275036 + ... + 262275108.

It is an arithmetic number, because the mean of its divisors is an integer number (193985820).

Almost surely, 2^19146080256 is an apocalyptic number.

19146080256 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 19146080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27933958080).

19146080256 is an abundant number, since it is smaller than the sum of its proper divisors (36721835904).

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

19146080256 is an frugal number, since it uses more digits than its factorization.

19146080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 19146080256 in words is "nineteen billion, one hundred forty-six million, eighty thousand, two hundred fifty-six".