91584648000 has 224 divisors, whose sum is σ = 336014689920. Its totient is φ = 24422515200.

The previous prime is 91584647969. The next prime is 91584648007. The reversal of 91584648000 is 84648519.

91584648000 is a `hidden beast` number, since 9 + 1 + 584 + 64 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91584648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3999 + ... + 428001.

It is an arithmetic number, because the mean of its divisors is an integer number (1500065580).

Almost surely, 2^91584648000 is an apocalyptic number.

91584648000 is a gapful number since it is divisible by the number (90) 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 91584648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168007344960).

91584648000 is an abundant number, since it is smaller than the sum of its proper divisors (244430041920).

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

91584648000 is a wasteful number, since it uses less digits than its factorization.

91584648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424039 (or 424013 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 91584648000 in words is "ninety-one billion, five hundred eighty-four million, six hundred forty-eight thousand".