10461605055201 has 48 divisors (see below), whose sum is σ = 16337609496000. Its totient is φ = 6428292948864.

The previous prime is 10461605055197. The next prime is 10461605055281. The reversal of 10461605055201 is 10255050616401.

10461605055201 is a `hidden beast` number, since 1 + 0 + 46 + 1 + 60 + 5 + 0 + 552 + 0 + 1 = 666.

It is not a de Polignac number, because 10461605055201 - 2² = 10461605055197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10461605055281) 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 47 ways as a sum of consecutive naturals, for example, 102364075 + ... + 102466223.

It is an arithmetic number, because the mean of its divisors is an integer number (340366864500).

Almost surely, 2^{10461605055201} is an apocalyptic number.

It is an amenable number.

10461605055201 is a deficient number, since it is larger than the sum of its proper divisors (5876004440799).

10461605055201 is a wasteful number, since it uses less digits than its factorization.

10461605055201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118398 (or 118395 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10461605055201 in words is "ten trillion, four hundred sixty-one billion, six hundred five million, fifty-five thousand, two hundred one".