91713128967936 has 720 divisors, whose sum is σ = 330722254291968. Its totient is φ = 24711373209600.

The previous prime is 91713128967923. The next prime is 91713128968133. The reversal of 91713128967936 is 63976982131719.

91713128967936 is a `hidden beast` number, since 9 + 171 + 31 + 289 + 67 + 93 + 6 = 666.

It is a super-2 number, since 2×91713128967936² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236839756 + ... + 237226676.

Almost surely, 2^{91713128967936} is an apocalyptic number.

91713128967936 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 91713128967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165361127145984).

91713128967936 is an abundant number, since it is smaller than the sum of its proper divisors (239009125324032).

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

91713128967936 is a wasteful number, since it uses less digits than its factorization.

91713128967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387050 (or 387027 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 91713128967936 in words is "ninety-one trillion, seven hundred thirteen billion, one hundred twenty-eight million, nine hundred sixty-seven thousand, nine hundred thirty-six".