10348915248 has 180 divisors, whose sum is σ = 33758365368. Its totient is φ = 2950940160.

The previous prime is 10348915211. The next prime is 10348915249. The reversal of 10348915248 is 84251984301.

10348915248 is a `hidden beast` number, since 1 + 0 + 34 + 8 + 91 + 524 + 8 = 666.

10348915248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10348915249) 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 35 ways as a sum of consecutive naturals, for example, 4535868 + ... + 4538148.

Almost surely, 2^10348915248 is an apocalyptic number.

10348915248 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 10348915248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879182684).

10348915248 is an abundant number, since it is smaller than the sum of its proper divisors (23409450120).

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

10348915248 is a wasteful number, since it uses less digits than its factorization.

10348915248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10348915248 in words is "ten billion, three hundred forty-eight million, nine hundred fifteen thousand, two hundred forty-eight".