91824708715441 has 27 divisors (see below), whose sum is σ = 100170859535019. Its totient is φ = 84135607622352.

The previous prime is 91824708715373. The next prime is 91824708715457. The reversal of 91824708715441 is 14451780742819.

The square root of 91824708715441 is 9582521.

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., 13583536792225 + 78241171923216 = 3685585^2 + 8845404^2 .

It is not a de Polignac number, because 91824708715441 - 2²¹ = 91824706618289 is a prime.

It is a super-3 number, since 3×91824708715441³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91824708715441.

It is not an unprimeable number, because it can be changed into a prime (91824708718441) 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, 17315612796 + ... + 17315618098.

Almost surely, 2^{91824708715441} is an apocalyptic number.

91824708715441 is the 9582521-st square number.

91824708715441 is the 4791261-st centered octagonal number.

It is an amenable number.

91824708715441 is a deficient number, since it is larger than the sum of its proper divisors (8346150819578).

91824708715441 is an frugal number, since it uses more digits than its factorization.

91824708715441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 91824708715441 in words is "ninety-one trillion, eight hundred twenty-four billion, seven hundred eight million, seven hundred fifteen thousand, four hundred forty-one".