19096480482304 has 297 divisors, whose sum is σ = 42150679274613. Its totient is φ = 8645373198336.

The previous prime is 19096480482301. The next prime is 19096480482319. The reversal of 19096480482304 is 40328408469091.

The square root of 19096480482304 is 4369952.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10262745416704 + 8833735065600 = 3203552^2 + 2972160^2 .

It is a super-2 number, since 2×19096480482304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19096480482301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68940362614 + ... + 68940362890.

Almost surely, 2^{19096480482304} is an apocalyptic number.

19096480482304 is the 4369952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19096480482304

19096480482304 is an abundant number, since it is smaller than the sum of its proper divisors (23054198792309).

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

19096480482304 is an frugal number, since it uses more digits than its factorization.

19096480482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 19096480482304 in words is "nineteen trillion, ninety-six billion, four hundred eighty million, four hundred eighty-two thousand, three hundred four".