91494748800 has 1344 divisors, whose sum is σ = 418045743360. Its totient is φ = 19259596800.

The previous prime is 91494748781. The next prime is 91494748837. The reversal of 91494748800 is 884749419.

91494748800 is a `hidden beast` number, since 9 + 1 + 494 + 74 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212284585 + ... + 212285015.

It is an arithmetic number, because the mean of its divisors is an integer number (311045940).

Almost surely, 2^91494748800 is an apocalyptic number.

91494748800 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 91494748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209022871680).

91494748800 is an abundant number, since it is smaller than the sum of its proper divisors (326550994560).

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

91494748800 is a wasteful number, since it uses less digits than its factorization.

91494748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 91494748800 in words is "ninety-one billion, four hundred ninety-four million, seven hundred forty-eight thousand, eight hundred".