10114182144 has 528 divisors, whose sum is σ = 34487856000. Its totient is φ = 2822307840.

The previous prime is 10114182073. The next prime is 10114182157. The reversal of 10114182144 is 44128141101.

10114182144 is a `hidden beast` number, since 101 + 1 + 418 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 113642452 + ... + 113642540.

Almost surely, 2^10114182144 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 10114182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243928000).

10114182144 is an abundant number, since it is smaller than the sum of its proper divisors (24373673856).

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

10114182144 is a wasteful number, since it uses less digits than its factorization.

10114182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10114182144 in words is "ten billion, one hundred fourteen million, one hundred eighty-two thousand, one hundred forty-four".