461312385717800 has 96 divisors (see below), whose sum is σ = 1119191197178880. Its totient is φ = 176500989139200.

The previous prime is 461312385717773. The next prime is 461312385717853. The reversal of 461312385717800 is 8717583213164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172393894 + ... + 1172787306.

It is an arithmetic number, because the mean of its divisors is an integer number (11658241637280).

Almost surely, 2^{461312385717800} is an apocalyptic number.

461312385717800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461312385717800 is an abundant number, since it is smaller than the sum of its proper divisors (657878811461080).

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

461312385717800 is a wasteful number, since it uses less digits than its factorization.

461312385717800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648363 (or 648354 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 461312385717800 in words is "four hundred sixty-one trillion, three hundred twelve billion, three hundred eighty-five million, seven hundred seventeen thousand, eight hundred".