19244086272 has 110 divisors (see below), whose sum is σ = 57466851618. Its totient is φ = 6414667776.

The previous prime is 19244086247. The next prime is 19244086297. The reversal of 19244086272 is 27268044291.

19244086272 is a `hidden beast` number, since 19 + 2 + 4 + 4 + 0 + 8 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (19244086247) and next prime (19244086297).

It can be written as a sum of positive squares in only one way, i.e., 18089174016 + 1154912256 = 134496^2 + 33984^2 .

It is a congruent 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 9 ways as a sum of consecutive naturals, for example, 33063 + ... + 198950.

Almost surely, 2^19244086272 is an apocalyptic number.

19244086272 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 19244086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28733425809).

19244086272 is an abundant number, since it is smaller than the sum of its proper divisors (38222765346).

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

19244086272 is an equidigital number, since it uses as much as digits as its factorization.

19244086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232045 (or 232018 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 19244086272 in words is "nineteen billion, two hundred forty-four million, eighty-six thousand, two hundred seventy-two".