88075691068225 has 81 divisors (see below), whose sum is σ = 130589151839433. Its totient is φ = 58754360266560.

The previous prime is 88075691068223. The next prime is 88075691068243. The reversal of 88075691068225 is 52286019657088.

The square root of 88075691068225 is 9384865.

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 8361078751809 + 79714612316416 = 2891553^2 + 8928304^2 .

It is not a de Polignac number, because 88075691068225 - 2¹ = 88075691068223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88075691068223) 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 80 ways as a sum of consecutive naturals, for example, 12153396552 + ... + 12153403798.

Almost surely, 2^{88075691068225} is an apocalyptic number.

88075691068225 is the 9384865-th square number.

88075691068225 is the 4692433-rd centered octagonal number.

It is an amenable number.

88075691068225 is a deficient number, since it is larger than the sum of its proper divisors (42513460771208).

88075691068225 is an frugal number, since it uses more digits than its factorization.

88075691068225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 67.

The spelling of 88075691068225 in words is "eighty-eight trillion, seventy-five billion, six hundred ninety-one million, sixty-eight thousand, two hundred twenty-five".