461457652144756 has 192 divisors, whose sum is σ = 886712852551680. Its totient is φ = 209395288166400.

The previous prime is 461457652144747. The next prime is 461457652144759. The reversal of 461457652144756 is 657441256754164.

It is a junction number, because it is equal to n+sod(n) for n = 461457652144691 and 461457652144700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461457652144759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88182235516 + ... + 88182240748.

It is an arithmetic number, because the mean of its divisors is an integer number (4618296107040).

Almost surely, 2^{461457652144756} is an apocalyptic number.

It is an amenable number.

461457652144756 is a deficient number, since it is larger than the sum of its proper divisors (425255200406924).

461457652144756 is a wasteful number, since it uses less digits than its factorization.

461457652144756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7684 counting only the distinct ones).

The product of its digits is 677376000, while the sum is 67.

The spelling of 461457652144756 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred fifty-two million, one hundred forty-four thousand, seven hundred fifty-six".