91488705841 has 27 divisors (see below), whose sum is σ = 101202649569. Its totient is φ = 82668953952.

The previous prime is 91488705793. The next prime is 91488705857. The reversal of 91488705841 is 14850788419.

The square root of 91488705841 is 302471.

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 2374515441 + 89114190400 = 48729^2 + 298520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-91488705841 is a prime.

It is a super-2 number, since 2×91488705841² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91488705881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208402300 + ... + 208402738.

Almost surely, 2^91488705841 is an apocalyptic number.

91488705841 is the 302471-st square number.

91488705841 is the 151236-th centered octagonal number.

It is an amenable number.

91488705841 is a deficient number, since it is larger than the sum of its proper divisors (9713943728).

91488705841 is an frugal number, since it uses more digits than its factorization.

91488705841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 91488705841 in words is "ninety-one billion, four hundred eighty-eight million, seven hundred five thousand, eight hundred forty-one".