19264225144609 has 27 divisors (see below), whose sum is σ = 19769996625561. Its totient is φ = 18771315710400.

The previous prime is 19264225144597. The next prime is 19264225144669. The reversal of 19264225144609 is 90644152246291.

The square root of 19264225144609 is 4389103.

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 5734334254609 + 13529890890000 = 2394647^2 + 3678300^2 .

It is a de Polignac number, because none of the positive numbers 2^k-19264225144609 is a prime.

It is a super-2 number, since 2×19264225144609² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19264225144609.

It is not an unprimeable number, because it can be changed into a prime (19264225144669) 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, 32053618909 + ... + 32053619509.

It is an arithmetic number, because the mean of its divisors is an integer number (732222097243).

Almost surely, 2^{19264225144609} is an apocalyptic number.

19264225144609 is the 4389103-rd square number.

19264225144609 is the 2194552-nd centered octagonal number.

It is an amenable number.

19264225144609 is a deficient number, since it is larger than the sum of its proper divisors (505771480952).

19264225144609 is an frugal number, since it uses more digits than its factorization.

19264225144609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 19264225144609 in words is "nineteen trillion, two hundred sixty-four billion, two hundred twenty-five million, one hundred forty-four thousand, six hundred nine".