10874231968 has 48 divisors (see below), whose sum is σ = 22812537384. Its totient is φ = 5084651520.

The previous prime is 10874231947. The next prime is 10874232023. The reversal of 10874231968 is 86913247801.

It can be written as a sum of positive squares in 4 ways, for example, as 10835144464 + 39087504 = 104092^2 + 6252^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21748 + ... + 149068.

Almost surely, 2^10874231968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10874231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406268692).

10874231968 is an abundant number, since it is smaller than the sum of its proper divisors (11938305416).

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

10874231968 is a wasteful number, since it uses less digits than its factorization.

10874231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127505 (or 127497 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 10874231968 in words is "ten billion, eight hundred seventy-four million, two hundred thirty-one thousand, nine hundred sixty-eight".