10948866048 has 156 divisors (see below), whose sum is σ = 33488477568. Its totient is φ = 3434741760.

The previous prime is 10948866011. The next prime is 10948866053. The reversal of 10948866048 is 84066884901.

It is a junction number, because it is equal to n+sod(n) for n = 10948865985 and 10948866003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617953 + ... + 635423.

It is an arithmetic number, because the mean of its divisors is an integer number (214669728).

Almost surely, 2^10948866048 is an apocalyptic number.

10948866048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10948866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744238784).

10948866048 is an abundant number, since it is smaller than the sum of its proper divisors (22539611520).

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

10948866048 is a wasteful number, since it uses less digits than its factorization.

10948866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17518 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10948866048 in words is "ten billion, nine hundred forty-eight million, eight hundred sixty-six thousand, forty-eight".