56249685000441 has 63 divisors (see below), whose sum is σ = 84775724177949. Its totient is φ = 37305255544992.

The previous prime is 56249685000433. The next prime is 56249685000491. The reversal of 56249685000441 is 14400058694265.

It is a happy number.

The square root of 56249685000441 is 7499979.

It is a perfect power (a square), and thus also a powerful number.

56249685000441 is a `hidden beast` number, since 5 + 6 + 2 + 4 + 96 + 8 + 500 + 0 + 4 + 41 = 666.

56249685000441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214040396025 + 56035644604416 = 462645^2 + 7485696^2 .

It is not a de Polignac number, because 56249685000441 - 2³ = 56249685000433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56249685000491) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 46372369551 + ... + 46372370763.

It is an arithmetic number, because the mean of its divisors is an integer number (1345646415523).

Almost surely, 2^{56249685000441} is an apocalyptic number.

56249685000441 is the 7499979-th square number.

56249685000441 is the 3749990-th centered octagonal number.

It is an amenable number.

56249685000441 is a deficient number, since it is larger than the sum of its proper divisors (28526039177508).

56249685000441 is an frugal number, since it uses more digits than its factorization.

56249685000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 56249685000441 in words is "fifty-six trillion, two hundred forty-nine billion, six hundred eighty-five million, four hundred forty-one", and thus it is an aban number.