10005314016 has 48 divisors (see below), whose sum is σ = 26580403584. Its totient is φ = 3294920064.

The previous prime is 10005313991. The next prime is 10005314021. The reversal of 10005314016 is 61041350001.

10005314016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10005313983 and 10005314001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 619876 + ... + 635811.

It is an arithmetic number, because the mean of its divisors is an integer number (553758408).

Almost surely, 2^10005314016 is an apocalyptic number.

10005314016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10005314016 is an abundant number, since it is smaller than the sum of its proper divisors (16575089568).

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

10005314016 is a wasteful number, since it uses less digits than its factorization.

10005314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255783 (or 1255775 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10005314016 its reverse (61041350001), we get a palindrome (71046664017).

The spelling of 10005314016 in words is "ten billion, five million, three hundred fourteen thousand, sixteen".