91541189456656 has 225 divisors, whose sum is σ = 194914527867015. Its totient is φ = 41642527118400.

The previous prime is 91541189456623. The next prime is 91541189456699. The reversal of 91541189456656 is 65665498114519.

The square root of 91541189456656 is 9567716.

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

Its product of digits (279936000) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 698787705711 + ... + 698787705841.

Almost surely, 2^{91541189456656} is an apocalyptic number.

91541189456656 is the 9567716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91541189456656

91541189456656 is an abundant number, since it is smaller than the sum of its proper divisors (103373338410359).

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

91541189456656 is an frugal number, since it uses more digits than its factorization.

91541189456656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 183 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 70.

The spelling of 91541189456656 in words is "ninety-one trillion, five hundred forty-one billion, one hundred eighty-nine million, four hundred fifty-six thousand, six hundred fifty-six".