91284126336 has 256 divisors, whose sum is σ = 290666544000. Its totient is φ = 28036399104.

The previous prime is 91284126247. The next prime is 91284126343. The reversal of 91284126336 is 63362148219.

91284126336 is a `hidden beast` number, since 9 + 1 + 2 + 8 + 4 + 1 + 2 + 633 + 6 = 666.

It is a super-3 number, since 3×91284126336³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 91284126291 and 91284126300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30235035 + ... + 30238053.

Almost surely, 2^91284126336 is an apocalyptic number.

91284126336 is a gapful number since it is divisible by the number (96) 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 91284126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145333272000).

91284126336 is an abundant number, since it is smaller than the sum of its proper divisors (199382417664).

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

91284126336 is a wasteful number, since it uses less digits than its factorization.

91284126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3710 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 91284126336 in words is "ninety-one billion, two hundred eighty-four million, one hundred twenty-six thousand, three hundred thirty-six".