88530203084401 has 81 divisors (see below), whose sum is σ = 99756665895393. Its totient is φ = 78530181125760.

The previous prime is 88530203084383. The next prime is 88530203084417. The reversal of 88530203084401 is 10448030203588.

The square root of 88530203084401 is 9409049.

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 58967885693025 + 29562317391376 = 7679055^2 + 5437124^2 .

It is not a de Polignac number, because 88530203084401 - 2⁵ = 88530203084369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88530203084801) 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, 636907935790 + ... + 636907935928.

Almost surely, 2^{88530203084401} is an apocalyptic number.

88530203084401 is the 9409049-th square number.

88530203084401 is the 4704525-th centered octagonal number.

It is an amenable number.

88530203084401 is a deficient number, since it is larger than the sum of its proper divisors (11226462810992).

88530203084401 is an equidigital number, since it uses as much as digits as its factorization.

88530203084401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

Adding to 88530203084401 its reverse (10448030203588), we get a palindrome (98978233287989).

The spelling of 88530203084401 in words is "eighty-eight trillion, five hundred thirty billion, two hundred three million, eighty-four thousand, four hundred one".