56461244121 has 6 divisors (see below), whose sum is σ = 81555130410. Its totient is φ = 37640829408.

The previous prime is 56461244111. The next prime is 56461244131. The reversal of 56461244121 is 12144216465.

56461244121 is a `hidden beast` number, since 5 + 646 + 1 + 2 + 4 + 4 + 1 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (56461244111) and next prime (56461244131).

It can be written as a sum of positive squares in only one way, i.e., 33154947225 + 23306296896 = 182085^2 + 152664^2 .

It is not a de Polignac number, because 56461244121 - 2¹¹ = 56461242073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56461244111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3136735776 + ... + 3136735793.

It is an arithmetic number, because the mean of its divisors is an integer number (13592521735).

Almost surely, 2^56461244121 is an apocalyptic number.

It is an amenable number.

56461244121 is a deficient number, since it is larger than the sum of its proper divisors (25093886289).

56461244121 is a wasteful number, since it uses less digits than its factorization.

56461244121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273471575 (or 6273471572 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 56461244121 in words is "fifty-six billion, four hundred sixty-one million, two hundred forty-four thousand, one hundred twenty-one".