456040685061 has 128 divisors (see below), whose sum is σ = 785014630400. Its totient is φ = 259248729600.

The previous prime is 456040685059. The next prime is 456040685119. The reversal of 456040685061 is 160586040654.

456040685061 is a `hidden beast` number, since 4 + 560 + 4 + 0 + 6 + 85 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 456040685061 - 2¹ = 456040685059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456040684998 and 456040685016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456040685161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 253214361 + ... + 253216161.

It is an arithmetic number, because the mean of its divisors is an integer number (6132926800).

Almost surely, 2^456040685061 is an apocalyptic number.

It is an amenable number.

456040685061 is a deficient number, since it is larger than the sum of its proper divisors (328973945339).

456040685061 is a wasteful number, since it uses less digits than its factorization.

456040685061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 456040685061 in words is "four hundred fifty-six billion, forty million, six hundred eighty-five thousand, sixty-one".