91118288448100 has 81 divisors (see below), whose sum is σ = 198486681373323. Its totient is φ = 36307758853440.

The previous prime is 91118288448053. The next prime is 91118288448119. The reversal of 91118288448100 is 184488281119.

The square root of 91118288448100 is 9545590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24097475930724 + 67020812517376 = 4908918^2 + 8186624^2 .

It is a super-2 number, since 2×91118288448100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 27014018014 + ... + 27014021386.

Almost surely, 2^{91118288448100} is an apocalyptic number.

91118288448100 is the 9545590-th square number.

It is an amenable number.

91118288448100 is an abundant number, since it is smaller than the sum of its proper divisors (107368392925223).

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

91118288448100 is an frugal number, since it uses more digits than its factorization.

91118288448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 55.

The spelling of 91118288448100 in words is "ninety-one trillion, one hundred eighteen billion, two hundred eighty-eight million, four hundred forty-eight thousand, one hundred".