91462317025728 has 336 divisors, whose sum is σ = 269276386861440. Its totient is φ = 27373975664640.

The previous prime is 91462317025649. The next prime is 91462317025789. The reversal of 91462317025728 is 82752071326419.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13071643926 + ... + 13071650922.

It is an arithmetic number, because the mean of its divisors is an integer number (801417818040).

It is a 1-persistent number, because it is pandigital, but 2⋅91462317025728 = 182924634051456 is not.

Almost surely, 2^{91462317025728} 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 91462317025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134638193430720).

91462317025728 is an abundant number, since it is smaller than the sum of its proper divisors (177814069835712).

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

91462317025728 is a wasteful number, since it uses less digits than its factorization.

91462317025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13896 (or 13875 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 91462317025728 in words is "ninety-one trillion, four hundred sixty-two billion, three hundred seventeen million, twenty-five thousand, seven hundred twenty-eight".