10439365248 has 432 divisors, whose sum is σ = 34451369550. Its totient is φ = 3029225472.

The previous prime is 10439365247. The next prime is 10439365267. The reversal of 10439365248 is 84256393401.

10439365248 is a `hidden beast` number, since 1 + 0 + 43 + 9 + 365 + 248 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5368785984 + 5070579264 = 73272^2 + 71208^2 .

It is a super-3 number, since 3×10439365248³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10439365243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 242775915 + ... + 242775957.

Almost surely, 2^10439365248 is an apocalyptic number.

10439365248 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 10439365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225684775).

10439365248 is an abundant number, since it is smaller than the sum of its proper divisors (24012004302).

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

10439365248 is a wasteful number, since it uses less digits than its factorization.

10439365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10439365248 in words is "ten billion, four hundred thirty-nine million, three hundred sixty-five thousand, two hundred forty-eight".