91220091948241 has 27 divisors (see below), whose sum is σ = 94180098914643. Its totient is φ = 88351367765760.

The previous prime is 91220091948173. The next prime is 91220091948269. The reversal of 91220091948241 is 14284919002219.

The square root of 91220091948241 is 9550921.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1588429188241 + 89631662760000 = 1260329^2 + 9467400^2 .

It is not a de Polignac number, because 91220091948241 - 2⁷ = 91220091948113 is a prime.

It is a super-2 number, since 2×91220091948241² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91220091948541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103541534121 + ... + 103541535001.

Almost surely, 2^{91220091948241} is an apocalyptic number.

91220091948241 is the 9550921-st square number.

91220091948241 is the 4775461-st centered octagonal number.

It is an amenable number.

91220091948241 is a deficient number, since it is larger than the sum of its proper divisors (2960006966402).

91220091948241 is an frugal number, since it uses more digits than its factorization.

91220091948241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 91220091948241 in words is "ninety-one trillion, two hundred twenty billion, ninety-one million, nine hundred forty-eight thousand, two hundred forty-one".