10409884848 has 120 divisors (see below), whose sum is σ = 31866531840. Its totient is φ = 3146090880.

The previous prime is 10409884841. The next prime is 10409884861. The reversal of 10409884848 is 84848890401.

It is a happy number.

10409884848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10409884794 and 10409884803.

It is not an unprimeable number, because it can be changed into a prime (10409884841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598093 + ... + 615251.

It is an arithmetic number, because the mean of its divisors is an integer number (265554432).

Almost surely, 2^10409884848 is an apocalyptic number.

10409884848 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 10409884848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933265920).

10409884848 is an abundant number, since it is smaller than the sum of its proper divisors (21456646992).

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

10409884848 is a wasteful number, since it uses less digits than its factorization.

10409884848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17567 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 10409884848 in words is "ten billion, four hundred nine million, eight hundred eighty-four thousand, eight hundred forty-eight".