91983617274481 has 3 divisors (see below), whose sum is σ = 91983626865291. Its totient is φ = 91983607683672.

The previous prime is 91983617274433. The next prime is 91983617274541. The reversal of 91983617274481 is 18447271638919.

The square root of 91983617274481 is 9590809.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 13246389714481 + 78737227560000 = 3639559^2 + 8873400^2 .

It is not a de Polignac number, because 91983617274481 - 2¹⁵ = 91983617241713 is a prime.

It is a super-2 number, since 2×91983617274481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91983617274481.

It is not an unprimeable number, because it can be changed into a prime (91983617974481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4795405 + ... + 14386213.

It is an arithmetic number, because the mean of its divisors is an integer number (30661208955097).

Almost surely, 2^{91983617274481} is an apocalyptic number.

91983617274481 is the 9590809-th square number.

91983617274481 is the 4795405-th centered octagonal number.

It is an amenable number.

91983617274481 is a deficient number, since it is larger than the sum of its proper divisors (9590810).

91983617274481 is an frugal number, since it uses more digits than its factorization.

91983617274481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181618 (or 9590809 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 70.

The spelling of 91983617274481 in words is "ninety-one trillion, nine hundred eighty-three billion, six hundred seventeen million, two hundred seventy-four thousand, four hundred eighty-one".