88252367329 has 45 divisors (see below), whose sum is σ = 109026034821. Its totient is φ = 71226222480.

The previous prime is 88252367317. The next prime is 88252367353. The reversal of 88252367329 is 92376325288.

The square root of 88252367329 is 297073.

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

It can be written as a sum of positive squares in 2 ways, for example, as 55026368929 + 33225998400 = 234577^2 + 182280^2 .

It is not a de Polignac number, because 88252367329 - 2⁵ = 88252367297 is a prime.

It is a Duffinian number.

Its product of digits (8709120) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 88252367329.

It is not an unprimeable number, because it can be changed into a prime (88252367369) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2385199099 + ... + 2385199135.

Almost surely, 2^88252367329 is an apocalyptic number.

88252367329 is the 297073-rd square number.

88252367329 is the 148537-th centered octagonal number.

It is an amenable number.

88252367329 is a deficient number, since it is larger than the sum of its proper divisors (20773667492).

88252367329 is an frugal number, since it uses more digits than its factorization.

88252367329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 75 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 88252367329 in words is "eighty-eight billion, two hundred fifty-two million, three hundred sixty-seven thousand, three hundred twenty-nine".