91893136608 has 576 divisors, whose sum is σ = 353204167680. Its totient is φ = 22806945792.

The previous prime is 91893136603. The next prime is 91893136609. The reversal of 91893136608 is 80663139819.

91893136608 is a `hidden beast` number, since 9 + 18 + 9 + 3 + 13 + 6 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91893136603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12025653 + ... + 12033291.

It is an arithmetic number, because the mean of its divisors is an integer number (613201680).

Almost surely, 2^91893136608 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 91893136608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176602083840).

91893136608 is an abundant number, since it is smaller than the sum of its proper divisors (261311031072).

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

91893136608 is a wasteful number, since it uses less digits than its factorization.

91893136608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 91893136608 in words is "ninety-one billion, eight hundred ninety-three million, one hundred thirty-six thousand, six hundred eight".