86483955105625 has 135 divisors (see below), whose sum is σ = 138210650882073. Its totient is φ = 53900916300000.

The previous prime is 86483955105551. The next prime is 86483955105631. The reversal of 86483955105625 is 52650155938468.

The square root of 86483955105625 is 9299675.

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 6780342080281 + 79703613025344 = 2603909^2 + 8927688^2 .

It is not a de Polignac number, because 86483955105625 - 2³¹ = 86481807621977 is a prime.

It is a super-3 number, since 3×86483955105625³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17901871960 + ... + 17901876790.

Almost surely, 2^{86483955105625} is an apocalyptic number.

86483955105625 is the 9299675-th square number.

86483955105625 is the 4649838-th centered octagonal number.

It is an amenable number.

86483955105625 is a deficient number, since it is larger than the sum of its proper divisors (51726695776448).

86483955105625 is an frugal number, since it uses more digits than its factorization.

86483955105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 67.

The spelling of 86483955105625 in words is "eighty-six trillion, four hundred eighty-three billion, nine hundred fifty-five million, one hundred five thousand, six hundred twenty-five".