91394408448 has 240 divisors, whose sum is σ = 301855382400. Its totient is φ = 26103250944.

The previous prime is 91394408431. The next prime is 91394408461. The reversal of 91394408448 is 84480449319.

91394408448 is a `hidden beast` number, since 91 + 39 + 440 + 84 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 91394408394 and 91394408403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33028761 + ... + 33031527.

It is an arithmetic number, because the mean of its divisors is an integer number (1257730760).

Almost surely, 2^91394408448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91394408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927691200).

91394408448 is an abundant number, since it is smaller than the sum of its proper divisors (210460973952).

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

91394408448 is an frugal number, since it uses more digits than its factorization.

91394408448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 91394408448 in words is "ninety-one billion, three hundred ninety-four million, four hundred eight thousand, four hundred forty-eight".