461256652164 has 96 divisors (see below), whose sum is σ = 1385122701312. Its totient is φ = 115942176000.

The previous prime is 461256652163. The next prime is 461256652169.

It is a happy number.

461256652164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (461256652163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8022897 + ... + 8080184.

It is an arithmetic number, because the mean of its divisors is an integer number (14428361472).

Almost surely, 2^461256652164 is an apocalyptic number.

461256652164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461256652164 is an abundant number, since it is smaller than the sum of its proper divisors (923866049148).

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

461256652164 is a wasteful number, since it uses less digits than its factorization.

461256652164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103137 (or 16103135 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 461256652164 in words is "four hundred sixty-one billion, two hundred fifty-six million, six hundred fifty-two thousand, one hundred sixty-four".