91728987141 has 64 divisors (see below), whose sum is σ = 142088048640. Its totient is φ = 52022154240.

The previous prime is 91728987083. The next prime is 91728987157. The reversal of 91728987141 is 14178982719.

It is not a de Polignac number, because 91728987141 - 2¹³ = 91728978949 is a prime.

It is a super-3 number, since 3×91728987141³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91728987191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123457216 + ... + 123457958.

It is an arithmetic number, because the mean of its divisors is an integer number (2220125760).

Almost surely, 2^91728987141 is an apocalyptic number.

It is an amenable number.

91728987141 is a deficient number, since it is larger than the sum of its proper divisors (50359061499).

91728987141 is a wasteful number, since it uses less digits than its factorization.

91728987141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746.

The product of its digits is 2032128, while the sum is 57.

The spelling of 91728987141 in words is "ninety-one billion, seven hundred twenty-eight million, nine hundred eighty-seven thousand, one hundred forty-one".