10805948604444 has 144 divisors (see below), whose sum is σ = 30920035776000. Its totient is φ = 2920570297344.

The previous prime is 10805948604433. The next prime is 10805948604467. The reversal of 10805948604444 is 44440684950801.

10805948604444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6800157 + ... + 8237355.

Almost surely, 2^{10805948604444} is an apocalyptic number.

10805948604444 is a gapful number since it is divisible by the number (14) 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 10805948604444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460017888000).

10805948604444 is an abundant number, since it is smaller than the sum of its proper divisors (20114087171556).

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

10805948604444 is a wasteful number, since it uses less digits than its factorization.

10805948604444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437912 (or 1437903 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 10805948604444 in words is "ten trillion, eight hundred five billion, nine hundred forty-eight million, six hundred four thousand, four hundred forty-four".