112965782144 has 16 divisors (see below), whose sum is σ = 225049019370. Its totient is φ = 56482891008.

The previous prime is 112965782141. The next prime is 112965782173. The reversal of 112965782144 is 441287569211.

112965782144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112600513600 + 365268544 = 335560^2 + 19112^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×112965782144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112965782092 and 112965782101.

It is not an unprimeable number, because it can be changed into a prime (112965782141) by changing a digit.

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 as a sum of consecutive naturals, namely, 441272459 + ... + 441272714.

Almost surely, 2^112965782144 is an apocalyptic number.

It is an amenable number.

112965782144 is a deficient number, since it is larger than the sum of its proper divisors (112083237226).

112965782144 is an frugal number, since it uses more digits than its factorization.

112965782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882545187 (or 882545175 counting only the distinct ones).

The product of its digits is 967680, while the sum is 50.

The spelling of 112965782144 in words is "one hundred twelve billion, nine hundred sixty-five million, seven hundred eighty-two thousand, one hundred forty-four".