461355553164 has 48 divisors (see below), whose sum is σ = 1185986946816. Its totient is φ = 138420504000.

The previous prime is 461355553163. The next prime is 461355553223.

461355553164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (461355553163) 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, 17289232 + ... + 17315895.

It is an arithmetic number, because the mean of its divisors is an integer number (24708061392).

Almost surely, 2^461355553164 is an apocalyptic number.

461355553164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461355553164 is an abundant number, since it is smaller than the sum of its proper divisors (724631393652).

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

461355553164 is a wasteful number, since it uses less digits than its factorization.

461355553164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34605246 (or 34605244 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 461355553164 in words is "four hundred sixty-one billion, three hundred fifty-five million, five hundred fifty-three thousand, one hundred sixty-four".