442136053000564 has 12 divisors (see below), whose sum is σ = 833256407578084. Its totient is φ = 204062793692544.

The previous prime is 442136053000519. The next prime is 442136053000597. The reversal of 442136053000564 is 465000350631244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24724184964964 + 417411868035600 = 4972342^2 + 20430660^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442136053000564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4251308201877 + ... + 4251308201980.

Almost surely, 2^{442136053000564} is an apocalyptic number.

It is an amenable number.

442136053000564 is a deficient number, since it is larger than the sum of its proper divisors (391120354577520).

442136053000564 is a wasteful number, since it uses less digits than its factorization.

442136053000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502616403874 (or 8502616403872 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 442136053000564 in words is "four hundred forty-two trillion, one hundred thirty-six billion, fifty-three million, five hundred sixty-four", and thus it is an aban number.