88190561706289 has 27 divisors (see below), whose sum is σ = 106250854536801. Its totient is φ = 72983714761440.

The previous prime is 88190561706257. The next prime is 88190561706301. The reversal of 88190561706289 is 98260716509188.

The square root of 88190561706289 is 9390983.

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 41326679387889 + 46863882318400 = 6428583^2 + 6845720^2 .

It is not a de Polignac number, because 88190561706289 - 2⁵ = 88190561706257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88190561706209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1906346419 + ... + 1906392679.

Almost surely, 2^{88190561706289} is an apocalyptic number.

88190561706289 is the 9390983-rd square number.

88190561706289 is the 4695492-nd centered octagonal number.

It is an amenable number.

88190561706289 is a deficient number, since it is larger than the sum of its proper divisors (18060292830512).

88190561706289 is an frugal number, since it uses more digits than its factorization.

88190561706289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92594 (or 46297 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 70.

The spelling of 88190561706289 in words is "eighty-eight trillion, one hundred ninety billion, five hundred sixty-one million, seven hundred six thousand, two hundred eighty-nine".