461572275164 has 48 divisors (see below), whose sum is σ = 1084533467136. Its totient is φ = 166000017600.

The previous prime is 461572275119. The next prime is 461572275169.

It is a happy number.

461572275164 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461572275169) 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, 57634892 + ... + 57642899.

It is an arithmetic number, because the mean of its divisors is an integer number (22594447232).

Almost surely, 2^461572275164 is an apocalyptic number.

461572275164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461572275164 is an abundant number, since it is smaller than the sum of its proper divisors (622961191972).

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

461572275164 is a wasteful number, since it uses less digits than its factorization.

461572275164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115277826 (or 115277824 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The spelling of 461572275164 in words is "four hundred sixty-one billion, five hundred seventy-two million, two hundred seventy-five thousand, one hundred sixty-four".