112166315539600 has 675 divisors, whose sum is σ = 320512749378731. Its totient is φ = 37720406976000.

The previous prime is 112166315539571. The next prime is 112166315539627. The reversal of 112166315539600 is 6935513661211.

The square root of 112166315539600 is 10590860.

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 20710909253776 + 91455406285824 = 4550924^2 + 9563232^2 .

It is a super-2 number, since 2×112166315539600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 1048283322747 + ... + 1048283322853.

Almost surely, 2^{112166315539600} is an apocalyptic number.

112166315539600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112166315539600 is the 10590860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112166315539600

112166315539600 is an abundant number, since it is smaller than the sum of its proper divisors (208346433839131).

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

112166315539600 is an frugal number, since it uses more digits than its factorization.

112166315539600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

112166315539600 divided by its sum of digits (49) gives a square (2289108480400 = 1512980²).

The spelling of 112166315539600 in words is "one hundred twelve trillion, one hundred sixty-six billion, three hundred fifteen million, five hundred thirty-nine thousand, six hundred".