112369766656 has 243 divisors, whose sum is σ = 271153990863. Its totient is φ = 46340259840.

The previous prime is 112369766651. The next prime is 112369766671. The reversal of 112369766656 is 656667963211.

The square root of 112369766656 is 335216.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25472160000 + 86897606656 = 159600^2 + 294784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112369766656.

It is not an unprimeable number, because it can be changed into a prime (112369766651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1539311836 + ... + 1539311908.

Almost surely, 2^112369766656 is an apocalyptic number.

112369766656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112369766656 is the 335216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112369766656

112369766656 is an abundant number, since it is smaller than the sum of its proper divisors (158784224207).

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

112369766656 is an frugal number, since it uses more digits than its factorization.

112369766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 123 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The spelling of 112369766656 in words is "one hundred twelve billion, three hundred sixty-nine million, seven hundred sixty-six thousand, six hundred fifty-six".