19918514304 has 320 divisors, whose sum is σ = 67599849240. Its totient is φ = 5767593984.

The previous prime is 19918514263. The next prime is 19918514377. The reversal of 19918514304 is 40341581991.

19918514304 is a `hidden beast` number, since 1 + 99 + 18 + 514 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11278440000 + 8640074304 = 106200^2 + 92952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19918514304.

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 39 ways as a sum of consecutive naturals, for example, 2286982 + ... + 2295674.

Almost surely, 2^19918514304 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 19918514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799924620).

19918514304 is an abundant number, since it is smaller than the sum of its proper divisors (47681334936).

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

19918514304 is a wasteful number, since it uses less digits than its factorization.

19918514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 19918514304 in words is "nineteen billion, nine hundred eighteen million, five hundred fourteen thousand, three hundred four".