19450207296 has 315 divisors, whose sum is σ = 62854610511. Its totient is φ = 5944513536.

The previous prime is 19450207253. The next prime is 19450207303. The reversal of 19450207296 is 69270205491.

The square root of 19450207296 is 139464.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10526760000 + 8923447296 = 102600^2 + 94464^2 .

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 44 ways as a sum of consecutive naturals, for example, 130538230 + ... + 130538378.

Almost surely, 2^19450207296 is an apocalyptic number.

19450207296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19450207296 is the 139464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19450207296

19450207296 is an abundant number, since it is smaller than the sum of its proper divisors (43404403215).

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

19450207296 is an equidigital number, since it uses as much as digits as its factorization.

19450207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19450207296 in words is "nineteen billion, four hundred fifty million, two hundred seven thousand, two hundred ninety-six".