91183687470225 has 243 divisors, whose sum is σ = 191362853651697. Its totient is φ = 41383750383360.

The previous prime is 91183687470193. The next prime is 91183687470269. The reversal of 91183687470225 is 52207478638119.

The square root of 91183687470225 is 9549015.

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

91183687470225 is a `hidden beast` number, since 9 + 1 + 1 + 8 + 368 + 7 + 47 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6350082483969 + 84833604986256 = 2519937^2 + 9210516^2 .

It is not a de Polignac number, because 91183687470225 - 2⁵ = 91183687470193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 199526668197 + ... + 199526668653.

It is a 2-persistent number, because it is pandigital, and so is 2⋅91183687470225 = 182367374940450, but 3⋅91183687470225 = 273551062410675 is not.

Almost surely, 2^{91183687470225} is an apocalyptic number.

91183687470225 is the 9549015-th square number.

91183687470225 is the 4774508-th centered octagonal number.

It is an amenable number.

91183687470225 is an abundant number, since it is smaller than the sum of its proper divisors (100179166181472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91183687470225 is an equidigital number, since it uses as much as digits as its factorization.

91183687470225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 91183687470225 in words is "ninety-one trillion, one hundred eighty-three billion, six hundred eighty-seven million, four hundred seventy thousand, two hundred twenty-five".