10486134383328 has 144 divisors (see below), whose sum is σ = 30252912764256. Its totient is φ = 3444669527040.

The previous prime is 10486134383311. The next prime is 10486134383341. The reversal of 10486134383328 is 82338343168401.

It is a happy number.

10486134383328 is a `hidden beast` number, since 1 + 0 + 486 + 13 + 43 + 83 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48087150 + ... + 48304722.

It is an arithmetic number, because the mean of its divisors is an integer number (210089671974).

Almost surely, 2^{10486134383328} is an apocalyptic number.

10486134383328 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 10486134383328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126456382128).

10486134383328 is an abundant number, since it is smaller than the sum of its proper divisors (19766778380928).

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

10486134383328 is a wasteful number, since it uses less digits than its factorization.

10486134383328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220017 (or 220006 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 10486134383328 in words is "ten trillion, four hundred eighty-six billion, one hundred thirty-four million, three hundred eighty-three thousand, three hundred twenty-eight".