19104911400961 has 16 divisors (see below), whose sum is σ = 19799567954640. Its totient is φ = 18412651192320.

The previous prime is 19104911400947. The next prime is 19104911400983. The reversal of 19104911400961 is 16900411940191.

It can be written as a sum of positive squares in 8 ways, for example, as 3237786378225 + 15867125022736 = 1799385^2 + 3983356^2 .

It is a cyclic number.

It is not a de Polignac number, because 19104911400961 - 2⁴³ = 10308818378753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19104911400941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243208351 + ... + 243286891.

It is an arithmetic number, because the mean of its divisors is an integer number (1237472997165).

Almost surely, 2^{19104911400961} is an apocalyptic number.

It is an amenable number.

19104911400961 is a deficient number, since it is larger than the sum of its proper divisors (694656553679).

19104911400961 is a wasteful number, since it uses less digits than its factorization.

19104911400961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93684.

The product of its (nonzero) digits is 69984, while the sum is 46.

The spelling of 19104911400961 in words is "nineteen trillion, one hundred four billion, nine hundred eleven million, four hundred thousand, nine hundred sixty-one".