91483084800 has 1152 divisors, whose sum is σ = 366414048000. Its totient is φ = 22574039040.

The previous prime is 91483084769. The next prime is 91483084837. The reversal of 91483084800 is 848038419.

91483084800 is a `hidden beast` number, since 91 + 4 + 83 + 0 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2127513579 + ... + 2127513621.

It is an arithmetic number, because the mean of its divisors is an integer number (318067750).

Almost surely, 2^91483084800 is an apocalyptic number.

91483084800 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 91483084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207024000).

91483084800 is an abundant number, since it is smaller than the sum of its proper divisors (274930963200).

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

91483084800 is an equidigital number, since it uses as much as digits as its factorization.

91483084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 91483084800 in words is "ninety-one billion, four hundred eighty-three million, eighty-four thousand, eight hundred".