456124552141 has 24 divisors (see below), whose sum is σ = 482053864824. Its totient is φ = 431525867520.

The previous prime is 456124552129. The next prime is 456124552151. The reversal of 456124552141 is 141255421654.

It can be written as a sum of positive squares in 4 ways, for example, as 18872989641 + 437251562500 = 137379^2 + 661250^2 .

It is not a de Polignac number, because 456124552141 - 2¹⁵ = 456124519373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456124552094 and 456124552103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456124552151) 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 23 ways as a sum of consecutive naturals, for example, 20063661 + ... + 20086381.

It is an arithmetic number, because the mean of its divisors is an integer number (20085577701).

Almost surely, 2^456124552141 is an apocalyptic number.

It is an amenable number.

456124552141 is a deficient number, since it is larger than the sum of its proper divisors (25929312683).

456124552141 is a wasteful number, since it uses less digits than its factorization.

456124552141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23181 (or 23158 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

Adding to 456124552141 its reverse (141255421654), we get a palindrome (597379973795).

The spelling of 456124552141 in words is "four hundred fifty-six billion, one hundred twenty-four million, five hundred fifty-two thousand, one hundred forty-one".