91487995748352 has 1008 divisors, whose sum is σ = 323598588768000. Its totient is φ = 25747447283712.

The previous prime is 91487995748351. The next prime is 91487995748353. The reversal of 91487995748352 is 25384759978419.

It is a happy number.

91487995748352 is a `hidden beast` number, since 9 + 1 + 4 + 8 + 7 + 9 + 9 + 574 + 8 + 35 + 2 = 666.

91487995748352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (91487995748351) and next prime (91487995748353).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91487995748351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6535316649 + ... + 6535330647.

It is an arithmetic number, because the mean of its divisors is an integer number (321030346000).

Almost surely, 2^{91487995748352} 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 91487995748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161799294384000).

91487995748352 is an abundant number, since it is smaller than the sum of its proper divisors (232110593019648).

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

91487995748352 is an equidigital number, since it uses as much as digits as its factorization.

91487995748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14078 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 81.

The spelling of 91487995748352 in words is "ninety-one trillion, four hundred eighty-seven billion, nine hundred ninety-five million, seven hundred forty-eight thousand, three hundred fifty-two".