461607562224560 has 20 divisors (see below), whose sum is σ = 1073237582172288. Its totient is φ = 184643024889792.

The previous prime is 461607562224449. The next prime is 461607562224583. The reversal of 461607562224560 is 65422265706164.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 461607562224496 and 461607562224505.

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 3 ways as a sum of consecutive naturals, for example, 2885047263824 + ... + 2885047263983.

Almost surely, 2^{461607562224560} is an apocalyptic number.

461607562224560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461607562224560 is an abundant number, since it is smaller than the sum of its proper divisors (611630019947728).

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

461607562224560 is a wasteful number, since it uses less digits than its factorization.

461607562224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770094527820 (or 5770094527814 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 56.

The spelling of 461607562224560 in words is "four hundred sixty-one trillion, six hundred seven billion, five hundred sixty-two million, two hundred twenty-four thousand, five hundred sixty".