461133363331164 has 12 divisors (see below), whose sum is σ = 1075977847772744. Its totient is φ = 153711121110384.

The previous prime is 461133363331163. The next prime is 461133363331181.

461133363331164 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×461133363331164² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461133363331163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19213890138787 + ... + 19213890138810.

Almost surely, 2^{461133363331164} is an apocalyptic number.

It is an amenable number.

461133363331164 is an abundant number, since it is smaller than the sum of its proper divisors (614844484441580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461133363331164 is a wasteful number, since it uses less digits than its factorization.

461133363331164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38427780277604 (or 38427780277602 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 48.

The spelling of 461133363331164 in words is "four hundred sixty-one trillion, one hundred thirty-three billion, three hundred sixty-three million, three hundred thirty-one thousand, one hundred sixty-four".