19308340224 has 352 divisors, whose sum is σ = 59444880000. Its totient is φ = 6186958848.

The previous prime is 19308340213. The next prime is 19308340231. The reversal of 19308340224 is 42204380391.

19308340224 is a `hidden beast` number, since 1 + 9 + 308 + 340 + 2 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129586102 + ... + 129586250.

It is an arithmetic number, because the mean of its divisors is an integer number (168877500).

Almost surely, 2^19308340224 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 19308340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29722440000).

19308340224 is an abundant number, since it is smaller than the sum of its proper divisors (40136539776).

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

19308340224 is a wasteful number, since it uses less digits than its factorization.

19308340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 19308340224 in words is "nineteen billion, three hundred eight million, three hundred forty thousand, two hundred twenty-four".