10281849130008 has 192 divisors, whose sum is σ = 29429211651840. Its totient is φ = 3236532279552.

The previous prime is 10281849129997. The next prime is 10281849130013. The reversal of 10281849130008 is 80003194818201.

10281849130008 is a `hidden beast` number, since 102 + 81 + 84 + 91 + 300 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51818235 + ... + 52016277.

It is an arithmetic number, because the mean of its divisors is an integer number (153277144020).

Almost surely, 2^{10281849130008} is an apocalyptic number.

10281849130008 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 10281849130008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714605825920).

10281849130008 is an abundant number, since it is smaller than the sum of its proper divisors (19147362521832).

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

10281849130008 is a wasteful number, since it uses less digits than its factorization.

10281849130008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198478 (or 198471 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10281849130008 in words is "ten trillion, two hundred eighty-one billion, eight hundred forty-nine million, one hundred thirty thousand, eight".