19195623200961 has 135 divisors (see below), whose sum is σ = 30113897652531. Its totient is φ = 12185288817696.

The previous prime is 19195623200953. The next prime is 19195623200981. The reversal of 19195623200961 is 16900232659191.

The square root of 19195623200961 is 4381281.

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

19195623200961 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 5 + 623 + 2 + 0 + 0 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17176507247025 + 2019115953936 = 4144455^2 + 1420956^2 .

It is not a de Polignac number, because 19195623200961 - 2³ = 19195623200953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 19195623200898 and 19195623200907.

It is not an unprimeable number, because it can be changed into a prime (19195623200981) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 86079027696 + ... + 86079027918.

Almost surely, 2^{19195623200961} is an apocalyptic number.

19195623200961 is the 4381281-st square number.

19195623200961 is the 2190641-st centered octagonal number.

It is an amenable number.

19195623200961 is a deficient number, since it is larger than the sum of its proper divisors (10918274451570).

19195623200961 is an frugal number, since it uses more digits than its factorization.

19195623200961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 19195623200961 in words is "nineteen trillion, one hundred ninety-five billion, six hundred twenty-three million, two hundred thousand, nine hundred sixty-one".