112332034134144 has 576 divisors, whose sum is σ = 368689957403040. Its totient is φ = 34019149824000.

The previous prime is 112332034134097. The next prime is 112332034134179. The reversal of 112332034134144 is 441431430233211.

112332034134144 is a `hidden beast` number, since 1 + 1 + 2 + 33 + 203 + 4 + 1 + 3 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×112332034134144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112332034134099 and 112332034134108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6815842384 + ... + 6815858864.

Almost surely, 2^{112332034134144} 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 112332034134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184344978701520).

112332034134144 is an abundant number, since it is smaller than the sum of its proper divisors (256357923268896).

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

112332034134144 is a wasteful number, since it uses less digits than its factorization.

112332034134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343 (or 18308 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 112332034134144 its reverse (441431430233211), we get a palindrome (553763464367355).

The spelling of 112332034134144 in words is "one hundred twelve trillion, three hundred thirty-two billion, thirty-four million, one hundred thirty-four thousand, one hundred forty-four".