112641455641 has 27 divisors (see below), whose sum is σ = 134126314623. Its totient is φ = 94484023920.

The previous prime is 112641455629. The next prime is 112641455671. The reversal of 112641455641 is 146554146211.

The square root of 112641455641 is 335621.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16662937225 + 95978518416 = 129085^2 + 309804^2 .

It is a de Polignac number, because none of the positive numbers 2^k-112641455641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112641455594 and 112641455603.

It is not an unprimeable number, because it can be changed into a prime (112641455611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47992630 + ... + 47994976.

Almost surely, 2^112641455641 is an apocalyptic number.

112641455641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112641455641 is the 335621-st square number.

112641455641 is the 167811-st centered octagonal number.

It is an amenable number.

112641455641 is a deficient number, since it is larger than the sum of its proper divisors (21484858982).

112641455641 is an frugal number, since it uses more digits than its factorization.

112641455641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 2371 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The spelling of 112641455641 in words is "one hundred twelve billion, six hundred forty-one million, four hundred fifty-five thousand, six hundred forty-one".