91851284448 has 384 divisors, whose sum is σ = 335518848000. Its totient is φ = 23749355520.

The previous prime is 91851284419. The next prime is 91851284453. The reversal of 91851284448 is 84448215819.

91851284448 is a `hidden beast` number, since 9 + 1 + 8 + 512 + 84 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 91851284394 and 91851284403.

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 63 ways as a sum of consecutive naturals, for example, 15231898 + ... + 15237926.

It is an arithmetic number, because the mean of its divisors is an integer number (873747000).

Almost surely, 2^91851284448 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 91851284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167759424000).

91851284448 is an abundant number, since it is smaller than the sum of its proper divisors (243667563552).

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

91851284448 is a wasteful number, since it uses less digits than its factorization.

91851284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6281 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 91851284448 in words is "ninety-one billion, eight hundred fifty-one million, two hundred eighty-four thousand, four hundred forty-eight".