19249315872 has 192 divisors, whose sum is σ = 54105408000. Its totient is φ = 5974898688.

The previous prime is 19249315861. The next prime is 19249315873. The reversal of 19249315872 is 27851394291.

It is a super-2 number, since 2×19249315872² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19249315873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45940879 + ... + 45941297.

It is an arithmetic number, because the mean of its divisors is an integer number (281799000).

Almost surely, 2^19249315872 is an apocalyptic number.

19249315872 is a gapful number since it is divisible by the number (12) 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 19249315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27052704000).

19249315872 is an abundant number, since it is smaller than the sum of its proper divisors (34856092128).

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

19249315872 is a wasteful number, since it uses less digits than its factorization.

19249315872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 19249315872 in words is "nineteen billion, two hundred forty-nine million, three hundred fifteen thousand, eight hundred seventy-two".