91638394848 has 1152 divisors, whose sum is σ = 370710273024. Its totient is φ = 21499084800.

The previous prime is 91638394819. The next prime is 91638394853. The reversal of 91638394848 is 84849383619.

91638394848 is a `hidden beast` number, since 9 + 163 + 8 + 394 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 474810240 + ... + 474810432.

It is an arithmetic number, because the mean of its divisors is an integer number (321797112).

Almost surely, 2^91638394848 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 91638394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185355136512).

91638394848 is an abundant number, since it is smaller than the sum of its proper divisors (279071878176).

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

91638394848 is a wasteful number, since it uses less digits than its factorization.

91638394848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 91638394848 in words is "ninety-one billion, six hundred thirty-eight million, three hundred ninety-four thousand, eight hundred forty-eight".