11265461544961 has 12 divisors (see below), whose sum is σ = 12218992485420. Its totient is φ = 10381584844800.

The previous prime is 11265461544949. The next prime is 11265461544979. The reversal of 11265461544961 is 16944516456211.

It can be written as a sum of positive squares in 6 ways, for example, as 63594752400 + 11201866792561 = 252180^2 + 3346919^2 .

It is not a de Polignac number, because 11265461544961 - 2²⁹ = 11264924674049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11265461544361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55355616 + ... + 55558753.

It is an arithmetic number, because the mean of its divisors is an integer number (1018249373785).

Almost surely, 2^{11265461544961} is an apocalyptic number.

It is an amenable number.

11265461544961 is a deficient number, since it is larger than the sum of its proper divisors (953530940459).

11265461544961 is a wasteful number, since it uses less digits than its factorization.

11265461544961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110914996 (or 110914983 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 55.

The spelling of 11265461544961 in words is "eleven trillion, two hundred sixty-five billion, four hundred sixty-one million, five hundred forty-four thousand, nine hundred sixty-one".