19274046561 has 81 divisors (see below), whose sum is σ = 35656771059. Its totient is φ = 9995832000.

The previous prime is 19274046541. The next prime is 19274046581. The reversal of 19274046561 is 16564047291.

The square root of 19274046561 is 138831.

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

19274046561 is a `hidden beast` number, since 1 + 9 + 2 + 7 + 40 + 46 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (19274046541) and next prime (19274046581).

It can be written as a sum of positive squares in only one way, i.e., 16200452961 + 3073593600 = 127281^2 + 55440^2 .

It is not a de Polignac number, because 19274046561 - 2⁷ = 19274046433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19274046511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32069661 + ... + 32070261.

Almost surely, 2^19274046561 is an apocalyptic number.

19274046561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19274046561 is the 138831-st square number.

19274046561 is the 69416-th centered octagonal number.

It is an amenable number.

19274046561 is a deficient number, since it is larger than the sum of its proper divisors (16382724498).

19274046561 is an equidigital number, since it uses as much as digits as its factorization.

19274046561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19274046561 in words is "nineteen billion, two hundred seventy-four million, forty-six thousand, five hundred sixty-one".