91041786003456 has 512 divisors, whose sum is σ = 273954503001600. Its totient is φ = 29875765248000.

The previous prime is 91041786003449. The next prime is 91041786003473. The reversal of 91041786003456 is 65430068714019.

91041786003456 is a `hidden beast` number, since 9 + 10 + 4 + 17 + 8 + 600 + 3 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

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, 48503880790 + ... + 48503882666.

It is an arithmetic number, because the mean of its divisors is an integer number (535067388675).

Almost surely, 2^{91041786003456} is an apocalyptic number.

91041786003456 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 91041786003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136977251500800).

91041786003456 is an abundant number, since it is smaller than the sum of its proper divisors (182912716998144).

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

91041786003456 is an equidigital number, since it uses as much as digits as its factorization.

91041786003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 91041786003456 in words is "ninety-one trillion, forty-one billion, seven hundred eighty-six million, three thousand, four hundred fifty-six".