91484471296 has 135 divisors (see below), whose sum is σ = 195767326209. Its totient is φ = 42741792768.

The previous prime is 91484471251. The next prime is 91484471303. The reversal of 91484471296 is 69217448419.

It is a happy number.

The square root of 91484471296 is 302464.

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

It can be written as a sum of positive squares in only one way, i.e., 71224934400 + 20259536896 = 266880^2 + 142336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 658161595 + ... + 658161733.

Almost surely, 2^91484471296 is an apocalyptic number.

91484471296 is the 302464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91484471296

91484471296 is an abundant number, since it is smaller than the sum of its proper divisors (104282854913).

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

91484471296 is an frugal number, since it uses more digits than its factorization.

91484471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 158 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The spelling of 91484471296 in words is "ninety-one billion, four hundred eighty-four million, four hundred seventy-one thousand, two hundred ninety-six".