112052077344 has 144 divisors (see below), whose sum is σ = 336650670720. Its totient is φ = 35295321600.

The previous prime is 112052077331. The next prime is 112052077393. The reversal of 112052077344 is 443770250211.

112052077344 is a `hidden beast` number, since 1 + 1 + 20 + 520 + 7 + 73 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 112052077299 and 112052077308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249819 + ... + 535269.

It is an arithmetic number, because the mean of its divisors is an integer number (2337851880).

Almost surely, 2^112052077344 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 112052077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168325335360).

112052077344 is an abundant number, since it is smaller than the sum of its proper divisors (224598593376).

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

112052077344 is a wasteful number, since it uses less digits than its factorization.

112052077344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285543 (or 285532 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 112052077344 in words is "one hundred twelve billion, fifty-two million, seventy-seven thousand, three hundred forty-four".