91217288484 has 567 divisors, whose sum is σ = 302178104193. Its totient is φ = 24007124736.

The previous prime is 91217288473. The next prime is 91217288509. The reversal of 91217288484 is 48488271219.

The square root of 91217288484 is 302022.

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

91217288484 is a `hidden beast` number, since 9 + 12 + 1 + 72 + 88 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71016920100 + 20200368384 = 266490^2 + 142128^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 91217288484.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1940793349 + ... + 1940793395.

Almost surely, 2^91217288484 is an apocalyptic number.

91217288484 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

91217288484 is the 302022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91217288484

91217288484 is an abundant number, since it is smaller than the sum of its proper divisors (210960815709).

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

91217288484 is a wasteful number, since it uses less digits than its factorization.

91217288484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 91217288484 in words is "ninety-one billion, two hundred seventeen million, two hundred eighty-eight thousand, four hundred eighty-four".