10448831736 has 192 divisors, whose sum is σ = 35232019200. Its totient is φ = 2855514816.

The previous prime is 10448831719. The next prime is 10448831749. The reversal of 10448831736 is 63713884401.

10448831736 is a `hidden beast` number, since 104 + 488 + 31 + 7 + 36 = 666.

10448831736 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 = 10448831691 and 10448831700.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 221971 + ... + 264893.

It is an arithmetic number, because the mean of its divisors is an integer number (183500100).

Almost surely, 2^10448831736 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 10448831736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616009600).

10448831736 is an abundant number, since it is smaller than the sum of its proper divisors (24783187464).

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

10448831736 is a wasteful number, since it uses less digits than its factorization.

10448831736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42975 (or 42958 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10448831736 in words is "ten billion, four hundred forty-eight million, eight hundred thirty-one thousand, seven hundred thirty-six".