461722664144775 has 192 divisors, whose sum is σ = 904018014144000. Its totient is φ = 205521675264000.

The previous prime is 461722664144719. The next prime is 461722664144789. The reversal of 461722664144775 is 577441466227164.

It is not a de Polignac number, because 461722664144775 - 2¹⁸ = 461722663882631 is a prime.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 93347707 + ... + 98169443.

It is an arithmetic number, because the mean of its divisors is an integer number (4708427157000).

Almost surely, 2^{461722664144775} is an apocalyptic number.

461722664144775 is a deficient number, since it is larger than the sum of its proper divisors (442295349999225).

461722664144775 is a wasteful number, since it uses less digits than its factorization.

461722664144775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821970 (or 4821965 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 66.

The spelling of 461722664144775 in words is "four hundred sixty-one trillion, seven hundred twenty-two billion, six hundred sixty-four million, one hundred forty-four thousand, seven hundred seventy-five".