112015143174144 has 1024 divisors, whose sum is σ = 366549732864000. Its totient is φ = 29748268892160.

The previous prime is 112015143174131. The next prime is 112015143174163. The reversal of 112015143174144 is 441471341510211.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64636550302 + ... + 64636552034.

It is an arithmetic number, because the mean of its divisors is an integer number (357958723500).

Almost surely, 2^{112015143174144} is an apocalyptic number.

112015143174144 is a gapful number since it is divisible by the number (14) 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 112015143174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183274866432000).

112015143174144 is an abundant number, since it is smaller than the sum of its proper divisors (254534589689856).

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

112015143174144 is an equidigital number, since it uses as much as digits as its factorization.

112015143174144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

Adding to 112015143174144 its reverse (441471341510211), we get a palindrome (553486484684355).

The spelling of 112015143174144 in words is "one hundred twelve trillion, fifteen billion, one hundred forty-three million, one hundred seventy-four thousand, one hundred forty-four".