461133202331164 has 36 divisors (see below), whose sum is σ = 887587124599000. Its totient is φ = 209470683739680.

The previous prime is 461133202331161. The next prime is 461133202331167.

461133202331164 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (461133202331161) and next prime (461133202331167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461133202331161) 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 11 ways as a sum of consecutive naturals, for example, 306788874 + ... + 308288305.

Almost surely, 2^{461133202331164} is an apocalyptic number.

461133202331164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461133202331164 is a deficient number, since it is larger than the sum of its proper divisors (426453922267836).

461133202331164 is a wasteful number, since it uses less digits than its factorization.

461133202331164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615078754 (or 615078741 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

It can be divided in two parts, 46113320 and 2331164, that added together give a palindrome (48444484).

The spelling of 461133202331164 in words is "four hundred sixty-one trillion, one hundred thirty-three billion, two hundred two million, three hundred thirty-one thousand, one hundred sixty-four".