91104148800 has 504 divisors, whose sum is σ = 389548827200. Its totient is φ = 19727400960.

The previous prime is 91104148799. The next prime is 91104148823. The reversal of 91104148800 is 884140119.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1891416 + ... + 1938984.

Almost surely, 2^91104148800 is an apocalyptic number.

91104148800 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 91104148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194774413600).

91104148800 is an abundant number, since it is smaller than the sum of its proper divisors (298444678400).

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

91104148800 is a wasteful number, since it uses less digits than its factorization.

91104148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47623 (or 47605 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 91104148800 its reverse (884140119), we get a palindrome (91988288919).

The spelling of 91104148800 in words is "ninety-one billion, one hundred four million, one hundred forty-eight thousand, eight hundred".