10457566641 has 40 divisors (see below), whose sum is σ = 16228574208. Its totient is φ = 6705720000.

The previous prime is 10457566621. The next prime is 10457566703. The reversal of 10457566641 is 14666575401.

It is not a de Polignac number, because 10457566641 - 2¹⁵ = 10457533873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10457566621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213616 + ... + 257966.

Almost surely, 2^10457566641 is an apocalyptic number.

It is an amenable number.

10457566641 is a deficient number, since it is larger than the sum of its proper divisors (5771007567).

10457566641 is an equidigital number, since it uses as much as digits as its factorization.

10457566641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44475 (or 44466 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10457566641 in words is "ten billion, four hundred fifty-seven million, five hundred sixty-six thousand, six hundred forty-one".