19481364864 has 256 divisors, whose sum is σ = 62219102400. Its totient is φ = 5965332480.

The previous prime is 19481364853. The next prime is 19481364883. The reversal of 19481364864 is 46846318491.

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 self number, because there is not a number n which added to its sum of digits gives 19481364864.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10467294 + ... + 10469154.

Almost surely, 2^19481364864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19481364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31109551200).

19481364864 is an abundant number, since it is smaller than the sum of its proper divisors (42737737536).

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

19481364864 is a wasteful number, since it uses less digits than its factorization.

19481364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2112 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 19481364864 in words is "nineteen billion, four hundred eighty-one million, three hundred sixty-four thousand, eight hundred sixty-four".