10438924566 has 64 divisors (see below), whose sum is σ = 24518320128. Its totient is φ = 2901093408.

The previous prime is 10438924549. The next prime is 10438924567. The reversal of 10438924566 is 66542983401.

10438924566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10438924566² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438924567) 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 31 ways as a sum of consecutive naturals, for example, 305541 + ... + 337983.

It is an arithmetic number, because the mean of its divisors is an integer number (383098752).

Almost surely, 2^10438924566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438924566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259160064).

10438924566 is an abundant number, since it is smaller than the sum of its proper divisors (14079395562).

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

10438924566 is a wasteful number, since it uses less digits than its factorization.

10438924566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32665.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 10438924566 in words is "ten billion, four hundred thirty-eight million, nine hundred twenty-four thousand, five hundred sixty-six".