10873523646 has 128 divisors (see below), whose sum is σ = 26135291520. Its totient is φ = 3338496000.

The previous prime is 10873523621. The next prime is 10873523651. The reversal of 10873523646 is 64632537801.

10873523646 is a `hidden beast` number, since 1 + 0 + 87 + 3 + 523 + 6 + 46 = 666.

10873523646 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 2×10873523646² (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 63 ways as a sum of consecutive naturals, for example, 15511096 + ... + 15511796.

It is an arithmetic number, because the mean of its divisors is an integer number (204181965).

Almost surely, 2^10873523646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10873523646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067645760).

10873523646 is an abundant number, since it is smaller than the sum of its proper divisors (15261767874).

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

10873523646 is a wasteful number, since it uses less digits than its factorization.

10873523646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10873523646 in words is "ten billion, eight hundred seventy-three million, five hundred twenty-three thousand, six hundred forty-six".