88845121241361 has 81 divisors (see below), whose sum is σ = 136961392907313. Its totient is φ = 55486862887680.

The previous prime is 88845121241299. The next prime is 88845121241413. The reversal of 88845121241361 is 16314212154888.

The square root of 88845121241361 is 9425769.

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

88845121241361 is a `hidden beast` number, since 8 + 8 + 8 + 4 + 5 + 1 + 212 + 413 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14839637450625 + 74005483790736 = 3852225^2 + 8602644^2 .

It is not a de Polignac number, because 88845121241361 - 2⁹ = 88845121240849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88845121241298 and 88845121241307.

It is not an unprimeable number, because it can be changed into a prime (88845121251361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 202380685980 + ... + 202380686418.

Almost surely, 2^{88845121241361} is an apocalyptic number.

88845121241361 is the 9425769-th square number.

88845121241361 is the 4712885-th centered octagonal number.

It is an amenable number.

88845121241361 is a deficient number, since it is larger than the sum of its proper divisors (48116271665952).

88845121241361 is an frugal number, since it uses more digits than its factorization.

88845121241361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 880 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 88845121241361 in words is "eighty-eight trillion, eight hundred forty-five billion, one hundred twenty-one million, two hundred forty-one thousand, three hundred sixty-one".