112529386116 has 189 divisors, whose sum is σ = 333905515671. Its totient is φ = 31954006224.

The previous prime is 112529386049. The next prime is 112529386121. The reversal of 112529386116 is 611683925211.

It is a happy number.

The square root of 112529386116 is 335454.

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

112529386116 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 29 + 3 + 8 + 611 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 690364251 + ... + 690364413.

Almost surely, 2^112529386116 is an apocalyptic number.

112529386116 is the 335454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112529386116

112529386116 is an abundant number, since it is smaller than the sum of its proper divisors (221376129555).

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

112529386116 is an frugal number, since it uses more digits than its factorization.

112529386116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 175 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

It can be divided in two parts, 1125 and 29386116, that added together give a square (29387241 = 5421²).

The spelling of 112529386116 in words is "one hundred twelve billion, five hundred twenty-nine million, three hundred eighty-six thousand, one hundred sixteen".