461153222351164 has 48 divisors (see below), whose sum is σ = 941765165385408. Its totient is φ = 193506892904448.

The previous prime is 461153222351161. The next prime is 461153222351167.

It is a happy number.

461153222351164 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (461153222351161) and next prime (461153222351167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461153222351161) 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, 823125529 + ... + 823685584.

It is an arithmetic number, because the mean of its divisors is an integer number (19620107612196).

Almost surely, 2^{461153222351164} is an apocalyptic number.

It is an amenable number.

461153222351164 is an abundant number, since it is smaller than the sum of its proper divisors (480611943034244).

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

461153222351164 is a wasteful number, since it uses less digits than its factorization.

461153222351164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646811334 (or 1646811332 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

The spelling of 461153222351164 in words is "four hundred sixty-one trillion, one hundred fifty-three billion, two hundred twenty-two million, three hundred fifty-one thousand, one hundred sixty-four".