91312148041 has 9 divisors (see below), whose sum is σ = 93858236199. Its totient is φ = 88833373704.

The previous prime is 91312148003. The next prime is 91312148071. The reversal of 91312148041 is 14084121319.

The square root of 91312148041 is 302179.

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

It can be written as a sum of positive squares in only one way, i.e., 81707364025 + 9604784016 = 285845^2 + 98004^2 .

It is not a de Polignac number, because 91312148041 - 2⁹ = 91312147529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91312147988 and 91312148006.

It is not an unprimeable number, because it can be changed into a prime (91312148071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11176540 + ... + 11184706.

It is an arithmetic number, because the mean of its divisors is an integer number (10428692911).

Almost surely, 2^91312148041 is an apocalyptic number.

91312148041 is the 302179-th square number.

91312148041 is the 151090-th centered octagonal number.

It is an amenable number.

91312148041 is a deficient number, since it is larger than the sum of its proper divisors (2546088158).

91312148041 is an frugal number, since it uses more digits than its factorization.

91312148041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16408 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 91312148041 in words is "ninety-one billion, three hundred twelve million, one hundred forty-eight thousand, forty-one".