19481282000 has 60 divisors (see below), whose sum is σ = 47120837868. Its totient is φ = 7790016000.

The previous prime is 19481281993. The next prime is 19481282011. The reversal of 19481282000 is 28218491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 18672675904 + 808606096 = 136648^2 + 28436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6240440 + ... + 6243560.

Almost surely, 2^19481282000 is an apocalyptic number.

19481282000 is a gapful number since it is divisible by the number (10) 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 19481282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560418934).

19481282000 is an abundant number, since it is smaller than the sum of its proper divisors (27639555868).

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

19481282000 is an frugal number, since it uses more digits than its factorization.

19481282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 19481282000 in words is "nineteen billion, four hundred eighty-one million, two hundred eighty-two thousand".