461635545536164 has 48 divisors (see below), whose sum is σ = 835418337062400. Its totient is φ = 222971541408000.

The previous prime is 461635545536149. The next prime is 461635545536197.

461635545536164 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 461635545536096 and 461635545536105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236242567 + ... + 238188625.

It is an arithmetic number, because the mean of its divisors is an integer number (17404548688800).

Almost surely, 2^{461635545536164} is an apocalyptic number.

It is an amenable number.

461635545536164 is a deficient number, since it is larger than the sum of its proper divisors (373782791526236).

461635545536164 is a wasteful number, since it uses less digits than its factorization.

461635545536164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949524 (or 1949522 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 64.

The spelling of 461635545536164 in words is "four hundred sixty-one trillion, six hundred thirty-five billion, five hundred forty-five million, five hundred thirty-six thousand, one hundred sixty-four".