10931886144 has 112 divisors (see below), whose sum is σ = 32231584000. Its totient is φ = 3633320448.

The previous prime is 10931886143. The next prime is 10931886169. The reversal of 10931886144 is 44168813901.

10931886144 is a `hidden beast` number, since 10 + 9 + 3 + 18 + 8 + 614 + 4 = 666.

It is a super-2 number, since 2×10931886144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10931886144.

It is not an unprimeable number, because it can be changed into a prime (10931886143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594009 + ... + 612135.

It is an arithmetic number, because the mean of its divisors is an integer number (287782000).

Almost surely, 2^10931886144 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 10931886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115792000).

10931886144 is an abundant number, since it is smaller than the sum of its proper divisors (21299697856).

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

10931886144 is a wasteful number, since it uses less digits than its factorization.

10931886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18497 (or 18481 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10931886144 in words is "ten billion, nine hundred thirty-one million, eight hundred eighty-six thousand, one hundred forty-four".