13404584958961 has 4 divisors (see below), whose sum is σ = 15319525667392. Its totient is φ = 11489644250532.

The previous prime is 13404584958907. The next prime is 13404584958997. The reversal of 13404584958961 is 16985948540431.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 13404584958961 - 2⁷ = 13404584958833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13404584953961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 957470354205 + ... + 957470354218.

It is an arithmetic number, because the mean of its divisors is an integer number (3829881416848).

Almost surely, 2^{13404584958961} is an apocalyptic number.

It is an amenable number.

13404584958961 is a deficient number, since it is larger than the sum of its proper divisors (1914940708431).

13404584958961 is an equidigital number, since it uses as much as digits as its factorization.

13404584958961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914940708430.

The product of its (nonzero) digits is 149299200, while the sum is 67.

The spelling of 13404584958961 in words is "thirteen trillion, four hundred four billion, five hundred eighty-four million, nine hundred fifty-eight thousand, nine hundred sixty-one".