10168961184 has 96 divisors (see below), whose sum is σ = 29953385280. Its totient is φ = 3356064000.

The previous prime is 10168961149. The next prime is 10168961197. The reversal of 10168961184 is 48116986101.

It is a happy number.

10168961184 is a `hidden beast` number, since 10 + 16 + 8 + 9 + 611 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28999 + ... + 145529.

It is an arithmetic number, because the mean of its divisors is an integer number (312014430).

Almost surely, 2^10168961184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168961184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976692640).

10168961184 is an abundant number, since it is smaller than the sum of its proper divisors (19784424096).

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

10168961184 is a wasteful number, since it uses less digits than its factorization.

10168961184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116651 (or 116637 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 10168961184 in words is "ten billion, one hundred sixty-eight million, nine hundred sixty-one thousand, one hundred eighty-four".