461314413164 has 48 divisors (see below), whose sum is σ = 927498324480. Its totient is φ = 198554639040.

The previous prime is 461314413139. The next prime is 461314413169.

461314413164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (461314413169) 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, 1581917 + ... + 1850699.

It is an arithmetic number, because the mean of its divisors is an integer number (19322881760).

Almost surely, 2^461314413164 is an apocalyptic number.

461314413164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461314413164 is an abundant number, since it is smaller than the sum of its proper divisors (466183911316).

461314413164 is a wasteful number, since it uses less digits than its factorization.

461314413164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270870 (or 270868 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 461314 and 413164, that added together give a palindrome (874478).

The spelling of 461314413164 in words is "four hundred sixty-one billion, three hundred fourteen million, four hundred thirteen thousand, one hundred sixty-four".