461456210563200 has 192 divisors, whose sum is σ = 1688801548696800. Its totient is φ = 123054989460480.

The previous prime is 461456210563147. The next prime is 461456210563207. The reversal of 461456210563200 is 2365012654164.

461456210563200 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 5 + 6 + 2 + 1 + 0 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×461456210563200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (461456210563207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670377782 + ... + 2670550581.

Almost surely, 2^{461456210563200} is an apocalyptic number.

461456210563200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461456210563200 is an abundant number, since it is smaller than the sum of its proper divisors (1227345338133600).

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

461456210563200 is a wasteful number, since it uses less digits than its factorization.

461456210563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340928396 (or 5340928373 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 461456210563200 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, two hundred ten million, five hundred sixty-three thousand, two hundred".