111688013745025 has 9 divisors (see below), whose sum is σ = 138493202567043. Its totient is φ = 89350368723000.

The previous prime is 111688013745023. The next prime is 111688013745079. The reversal of 111688013745025 is 520547310886111.

The square root of 111688013745025 is 10568255.

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., 40207684948209 + 71480328796816 = 6340953^2 + 8454604^2 .

It is not a de Polignac number, because 111688013745025 - 2¹ = 111688013745023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111688013745023) 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 8 ways as a sum of consecutive naturals, for example, 51784450 + ... + 53898100.

Almost surely, 2^{111688013745025} is an apocalyptic number.

111688013745025 is the 10568255-th square number.

111688013745025 is the 5284128-th centered octagonal number.

It is an amenable number.

111688013745025 is a deficient number, since it is larger than the sum of its proper divisors (26805188822018).

111688013745025 is an frugal number, since it uses more digits than its factorization.

111688013745025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227312 (or 2113656 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 111688013745025 in words is "one hundred eleven trillion, six hundred eighty-eight billion, thirteen million, seven hundred forty-five thousand, twenty-five".