10844413795908 has 768 divisors, whose sum is σ = 38111666503680. Its totient is φ = 2582833651200.

The previous prime is 10844413795907. The next prime is 10844413795921. The reversal of 10844413795908 is 80959731444801.

10844413795908 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 4 + 4 + 1 + 37 + 9 + 590 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10844413795907) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 634427410 + ... + 634444502.

It is an arithmetic number, because the mean of its divisors is an integer number (49624565760).

Almost surely, 2^{10844413795908} is an apocalyptic number.

10844413795908 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 10844413795908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055833251840).

10844413795908 is an abundant number, since it is smaller than the sum of its proper divisors (27267252707772).

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

10844413795908 is a wasteful number, since it uses less digits than its factorization.

10844413795908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17285 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 10844413795908 in words is "ten trillion, eight hundred forty-four billion, four hundred thirteen million, seven hundred ninety-five thousand, nine hundred eight".