10000456246561 has 4 divisors (see below), whose sum is σ = 10909588632624. Its totient is φ = 9091323860500.

The previous prime is 10000456246537. The next prime is 10000456246687. The reversal of 10000456246561 is 16564265400001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10000456246561 - 2²¹ = 10000454149409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000456226561) 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 3 ways as a sum of consecutive naturals, for example, 454566193015 + ... + 454566193036.

It is an arithmetic number, because the mean of its divisors is an integer number (2727397158156).

Almost surely, 2^{10000456246561} is an apocalyptic number.

10000456246561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000456246561 is a deficient number, since it is larger than the sum of its proper divisors (909132386063).

10000456246561 is an equidigital number, since it uses as much as digits as its factorization.

10000456246561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909132386062.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 10000456246561 in words is "ten trillion, four hundred fifty-six million, two hundred forty-six thousand, five hundred sixty-one".