461644363446164 has 48 divisors (see below), whose sum is σ = 838559189018880. Its totient is φ = 222110900753280.

The previous prime is 461644363446151. The next prime is 461644363446169.

461644363446164 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×461644363446164³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 461644363446097 and 461644363446106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461644363446169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42471014 + ... + 52221410.

It is an arithmetic number, because the mean of its divisors is an integer number (17469983104560).

Almost surely, 2^{461644363446164} is an apocalyptic number.

It is an amenable number.

461644363446164 is a deficient number, since it is larger than the sum of its proper divisors (376914825572716).

461644363446164 is a wasteful number, since it uses less digits than its factorization.

461644363446164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9751808 (or 9751806 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 62.

The spelling of 461644363446164 in words is "four hundred sixty-one trillion, six hundred forty-four billion, three hundred sixty-three million, four hundred forty-six thousand, one hundred sixty-four".