19108085824 has 63 divisors (see below), whose sum is σ = 39053731773. Its totient is φ = 9275920128.

The previous prime is 19108085807. The next prime is 19108085831. The reversal of 19108085824 is 42858080191.

It is a happy number.

The square root of 19108085824 is 138232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17098177600 + 2009908224 = 130760^2 + 44832^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 40916439 + ... + 40916905.

Almost surely, 2^19108085824 is an apocalyptic number.

19108085824 is the 138232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19108085824

19108085824 is an abundant number, since it is smaller than the sum of its proper divisors (19945645949).

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

19108085824 is an frugal number, since it uses more digits than its factorization.

19108085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The spelling of 19108085824 in words is "nineteen billion, one hundred eight million, eighty-five thousand, eight hundred twenty-four".