91839562223616 has 1053 divisors, whose sum is σ = 291860380331793. Its totient is φ = 27820691619840.

The previous prime is 91839562223417. The next prime is 91839562223621. The reversal of 91839562223616 is 61632226593819.

It is a happy number.

The square root of 91839562223616 is 9583296.

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

91839562223616 is a `hidden beast` number, since 9 + 1 + 8 + 3 + 9 + 5 + 6 + 2 + 2 + 2 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82179301478400 + 9660260745216 = 9065280^2 + 3108096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1293514960861 + ... + 1293514960931.

Almost surely, 2^{91839562223616} is an apocalyptic number.

91839562223616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91839562223616 is the 9583296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91839562223616

91839562223616 is an abundant number, since it is smaller than the sum of its proper divisors (200020818108177).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91839562223616 is an equidigital number, since it uses as much as digits as its factorization.

91839562223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 132 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 91839562223616 in words is "ninety-one trillion, eight hundred thirty-nine billion, five hundred sixty-two million, two hundred twenty-three thousand, six hundred sixteen".