461233542510224 has 40 divisors (see below), whose sum is σ = 975262444387200. Its totient is φ = 209569361456000.

The previous prime is 461233542510151. The next prime is 461233542510227. The reversal of 461233542510224 is 422015245332164.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (461233542510227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513604952 + ... + 514502199.

It is an arithmetic number, because the mean of its divisors is an integer number (24381561109680).

Almost surely, 2^{461233542510224} is an apocalyptic number.

461233542510224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461233542510224 is an abundant number, since it is smaller than the sum of its proper divisors (514028901876976).

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

461233542510224 is a wasteful number, since it uses less digits than its factorization.

461233542510224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028109719 (or 1028109713 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

Adding to 461233542510224 its reverse (422015245332164), we get a palindrome (883248787842388).

The spelling of 461233542510224 in words is "four hundred sixty-one trillion, two hundred thirty-three billion, five hundred forty-two million, five hundred ten thousand, two hundred twenty-four".