91816272144 has 225 divisors, whose sum is σ = 281100063783. Its totient is φ = 28929161664.

The previous prime is 91816272139. The next prime is 91816272151. The reversal of 91816272144 is 44127261819.

The square root of 91816272144 is 303012.

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

91816272144 is a `hidden beast` number, since 9 + 1 + 8 + 1 + 627 + 2 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91816272144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 207259987 + ... + 207260429.

Almost surely, 2^91816272144 is an apocalyptic number.

91816272144 is the 303012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91816272144

91816272144 is an abundant number, since it is smaller than the sum of its proper divisors (189283791639).

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

91816272144 is an equidigital number, since it uses as much as digits as its factorization.

91816272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 467 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 91816272144 in words is "ninety-one billion, eight hundred sixteen million, two hundred seventy-two thousand, one hundred forty-four".