91706341414464 has 336 divisors, whose sum is σ = 304062073835520. Its totient is φ = 25885164764160.

The previous prime is 91706341414403. The next prime is 91706341414487. The reversal of 91706341414464 is 46441414360719.

91706341414464 is a `hidden beast` number, since 9 + 1 + 7 + 0 + 6 + 34 + 141 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 91706341414464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117397527 + ... + 118176105.

It is an arithmetic number, because the mean of its divisors is an integer number (904946648320).

Almost surely, 2^{91706341414464} 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 91706341414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152031036917760).

91706341414464 is an abundant number, since it is smaller than the sum of its proper divisors (212355732421056).

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

91706341414464 is a wasteful number, since it uses less digits than its factorization.

91706341414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778958 (or 778945 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 91706341414464 in words is "ninety-one trillion, seven hundred six billion, three hundred forty-one million, four hundred fourteen thousand, four hundred sixty-four".