461200002164 has 24 divisors (see below), whose sum is σ = 932265246528. Its totient is φ = 197304813440.

The previous prime is 461200002157. The next prime is 461200002167.

461200002164 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 (461200002167) 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 7 ways as a sum of consecutive naturals, for example, 308288024 + ... + 308289519.

It is an arithmetic number, because the mean of its divisors is an integer number (38844385272).

Almost surely, 2^461200002164 is an apocalyptic number.

461200002164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461200002164 is an abundant number, since it is smaller than the sum of its proper divisors (471065244364).

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

461200002164 is a wasteful number, since it uses less digits than its factorization.

461200002164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616577575 (or 616577573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 46120000 and 2164, that added together give a palindrome (46122164).

The spelling of 461200002164 in words is "four hundred sixty-one billion, two hundred million, two thousand, one hundred sixty-four".