10108246030848 has 1280 divisors, whose sum is σ = 37725280665600. Its totient is φ = 2607301509120.

The previous prime is 10108246030789. The next prime is 10108246030853. The reversal of 10108246030848 is 84803064280101.

10108246030848 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 82 + 460 + 30 + 84 + 8 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3818754261 + ... + 3818756907.

It is an arithmetic number, because the mean of its divisors is an integer number (29472875520).

Almost surely, 2^{10108246030848} is an apocalyptic number.

10108246030848 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 10108246030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18862640332800).

10108246030848 is an abundant number, since it is smaller than the sum of its proper divisors (27617034634752).

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

10108246030848 is a wasteful number, since it uses less digits than its factorization.

10108246030848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10108246030848 in words is "ten trillion, one hundred eight billion, two hundred forty-six million, thirty thousand, eight hundred forty-eight".