91656240768 has 384 divisors, whose sum is σ = 297261619200. Its totient is φ = 28004797440.

The previous prime is 91656240763. The next prime is 91656240791. The reversal of 91656240768 is 86704265619.

91656240768 is a `hidden beast` number, since 9 + 1 + 6 + 5 + 624 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (91656240761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18317755 + ... + 18322757.

It is an arithmetic number, because the mean of its divisors is an integer number (774118800).

Almost surely, 2^91656240768 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 91656240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148630809600).

91656240768 is an abundant number, since it is smaller than the sum of its proper divisors (205605378432).

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

91656240768 is a wasteful number, since it uses less digits than its factorization.

91656240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 91656240768 in words is "ninety-one billion, six hundred fifty-six million, two hundred forty thousand, seven hundred sixty-eight".