56556610146241 has 16 divisors (see below), whose sum is σ = 59351926233600. Its totient is φ = 53822394547200.

The previous prime is 56556610146229. The next prime is 56556610146259. The reversal of 56556610146241 is 14264101665565.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56556610146241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56556610146221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623870 + ... + 11597128.

It is an arithmetic number, because the mean of its divisors is an integer number (3709495389600).

Almost surely, 2^{56556610146241} is an apocalyptic number.

It is an amenable number.

56556610146241 is a deficient number, since it is larger than the sum of its proper divisors (2795316087359).

56556610146241 is a wasteful number, since it uses less digits than its factorization.

56556610146241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977640.

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 56556610146241 in words is "fifty-six trillion, five hundred fifty-six billion, six hundred ten million, one hundred forty-six thousand, two hundred forty-one".