91506850246656 has 1248 divisors, whose sum is σ = 301664635272000. Its totient is φ = 27584185761792.

The previous prime is 91506850246633. The next prime is 91506850246661. The reversal of 91506850246656 is 65664205860519.

91506850246656 is a `hidden beast` number, since 9 + 1 + 5 + 0 + 68 + 502 + 4 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 91506850246593 and 91506850246602.

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 95 ways as a sum of consecutive naturals, for example, 839512387530 + ... + 839512387638.

It is an arithmetic number, because the mean of its divisors is an integer number (241718457750).

Almost surely, 2^{91506850246656} is an apocalyptic number.

91506850246656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91506850246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150832317636000).

91506850246656 is an abundant number, since it is smaller than the sum of its proper divisors (210157785025344).

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

91506850246656 is an frugal number, since it uses more digits than its factorization.

91506850246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 91506850246656 in words is "ninety-one trillion, five hundred six billion, eight hundred fifty million, two hundred forty-six thousand, six hundred fifty-six".