461116446600 has 192 divisors, whose sum is σ = 1479429685440. Its totient is φ = 118727884800.

The previous prime is 461116446551. The next prime is 461116446617. The reversal of 461116446600 is 6644611164.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289579 + ... + 2482821.

It is an arithmetic number, because the mean of its divisors is an integer number (7705362945).

Almost surely, 2^461116446600 is an apocalyptic number.

461116446600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461116446600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739714842720).

461116446600 is an abundant number, since it is smaller than the sum of its proper divisors (1018313238840).

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

461116446600 is a wasteful number, since it uses less digits than its factorization.

461116446600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193400 (or 193391 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 461116446600 in words is "four hundred sixty-one billion, one hundred sixteen million, four hundred forty-six thousand, six hundred".