561265218646144 has 64 divisors (see below), whose sum is σ = 1187701310267640. Its totient is φ = 263280959225856.

The previous prime is 561265218646109. The next prime is 561265218646189. The reversal of 561265218646144 is 441646812562165.

It can be written as a sum of positive squares in 4 ways, for example, as 205184997518400 + 356080221127744 = 14324280^2 + 18870088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411354669 + ... + 412716844.

Almost surely, 2^{561265218646144} is an apocalyptic number.

It is an amenable number.

561265218646144 is an abundant number, since it is smaller than the sum of its proper divisors (626436091621496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561265218646144 is a wasteful number, since it uses less digits than its factorization.

561265218646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824071857 (or 824071845 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 61.

The spelling of 561265218646144 in words is "five hundred sixty-one trillion, two hundred sixty-five billion, two hundred eighteen million, six hundred forty-six thousand, one hundred forty-four".