10505645664 has 48 divisors (see below), whose sum is σ = 27695736432. Its totient is φ = 3486844928.

The previous prime is 10505645629. The next prime is 10505645677. The reversal of 10505645664 is 46654650501.

10505645664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10505645664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 212469 + ... + 257204.

It is an arithmetic number, because the mean of its divisors is an integer number (576994509).

Almost surely, 2^10505645664 is an apocalyptic number.

It is an amenable number.

10505645664 is an abundant number, since it is smaller than the sum of its proper divisors (17190090768).

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

10505645664 is a wasteful number, since it uses less digits than its factorization.

10505645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469919 (or 469911 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 10505645664 in words is "ten billion, five hundred five million, six hundred forty-five thousand, six hundred sixty-four".