91347440766048 has 144 divisors (see below), whose sum is σ = 261774262713600. Its totient is φ = 30214570233600.

The previous prime is 91347440766007. The next prime is 91347440766073. The reversal of 91347440766048 is 84066704474319.

91347440766048 is a `hidden beast` number, since 9 + 13 + 4 + 7 + 4 + 4 + 0 + 7 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38822643 + ... + 41108301.

It is an arithmetic number, because the mean of its divisors is an integer number (1817876824400).

Almost surely, 2^{91347440766048} 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 91347440766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130887131356800).

91347440766048 is an abundant number, since it is smaller than the sum of its proper divisors (170426821947552).

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

91347440766048 is a wasteful number, since it uses less digits than its factorization.

91347440766048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286745 (or 2286734 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 91347440766048 in words is "ninety-one trillion, three hundred forty-seven billion, four hundred forty million, seven hundred sixty-six thousand, forty-eight".