10845844649808 has 160 divisors (see below), whose sum is σ = 32087827200000. Its totient is φ = 3092356320768.

The previous prime is 10845844649807. The next prime is 10845844649831. The reversal of 10845844649808 is 80894644854801.

It is a Cunningham number, because it is equal to 3293303²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10845844649807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553264935 + ... + 553284537.

It is an arithmetic number, because the mean of its divisors is an integer number (200548920000).

Almost surely, 2^{10845844649808} 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 10845844649808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043913600000).

10845844649808 is an abundant number, since it is smaller than the sum of its proper divisors (21241982550192).

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

10845844649808 is a wasteful number, since it uses less digits than its factorization.

10845844649808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22969 (or 22963 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 69.

The spelling of 10845844649808 in words is "ten trillion, eight hundred forty-five billion, eight hundred forty-four million, six hundred forty-nine thousand, eight hundred eight".