10359946368 has 96 divisors (see below), whose sum is σ = 29962296000. Its totient is φ = 3435886080.

The previous prime is 10359946351. The next prime is 10359946381. The reversal of 10359946368 is 86364995301.

10359946368 is a `hidden beast` number, since 1 + 0 + 3 + 599 + 46 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10359946368³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206653 + ... + 251843.

It is an arithmetic number, because the mean of its divisors is an integer number (312107250).

Almost surely, 2^10359946368 is an apocalyptic number.

10359946368 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 10359946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981148000).

10359946368 is an abundant number, since it is smaller than the sum of its proper divisors (19602349632).

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

10359946368 is a wasteful number, since it uses less digits than its factorization.

10359946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45410 (or 45395 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10359946368 in words is "ten billion, three hundred fifty-nine million, nine hundred forty-six thousand, three hundred sixty-eight".