461644115102200 has 96 divisors (see below), whose sum is σ = 1073658608906400. Its totient is φ = 184599841341440.

The previous prime is 461644115102099. The next prime is 461644115102249. The reversal of 461644115102200 is 2201511446164.

It is a self number, because there is not a number n which added to its sum of digits gives 461644115102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12184100856 + ... + 12184138744.

It is an arithmetic number, because the mean of its divisors is an integer number (11183943842775).

Almost surely, 2^{461644115102200} is an apocalyptic number.

461644115102200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461644115102200 is an abundant number, since it is smaller than the sum of its proper divisors (612014493804200).

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

461644115102200 is a wasteful number, since it uses less digits than its factorization.

461644115102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55369 (or 55360 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

Adding to 461644115102200 its reverse (2201511446164), we get a palindrome (463845626548364).

The spelling of 461644115102200 in words is "four hundred sixty-one trillion, six hundred forty-four billion, one hundred fifteen million, one hundred two thousand, two hundred".