19155144002281 has 9 divisors (see below), whose sum is σ = 22282550090199. Its totient is φ = 16418668599144.

The previous prime is 19155144002263. The next prime is 19155144002297. The reversal of 19155144002281 is 18220044155191.

It is a happy number.

The square root of 19155144002281 is 4376659.

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

It can be written as a sum of positive squares in only one way, i.e., 7293429403225 + 11861714599056 = 2700635^2 + 3444084^2 .

It is not a de Polignac number, because 19155144002281 - 2⁷ = 19155144002153 is a prime.

It is a super-2 number, since 2×19155144002281² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19155144002231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30323995 + ... + 30949231.

It is an arithmetic number, because the mean of its divisors is an integer number (2475838898911).

Almost surely, 2^{19155144002281} is an apocalyptic number.

19155144002281 is the 4376659-th square number.

19155144002281 is the 2188330-th centered octagonal number.

It is an amenable number.

19155144002281 is a deficient number, since it is larger than the sum of its proper divisors (3127406087918).

19155144002281 is an frugal number, since it uses more digits than its factorization.

19155144002281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250488 (or 625244 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 19155144002281 in words is "nineteen trillion, one hundred fifty-five billion, one hundred forty-four million, two thousand, two hundred eighty-one".