91564618719168 has 896 divisors, whose sum is σ = 332392938301440. Its totient is φ = 24120513331200.

The previous prime is 91564618719143. The next prime is 91564618719169. The reversal of 91564618719168 is 86191781646519.

91564618719168 is a `hidden beast` number, since 9 + 1 + 5 + 6 + 461 + 8 + 71 + 91 + 6 + 8 = 666.

It is a super-2 number, since 2×91564618719168² (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 junction number, because it is equal to n+sod(n) for n = 91564618719096 and 91564618719105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91564618719169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7443666618 + ... + 7443678918.

Almost surely, 2^{91564618719168} 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 91564618719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166196469150720).

91564618719168 is an abundant number, since it is smaller than the sum of its proper divisors (240828319582272).

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

91564618719168 is a wasteful number, since it uses less digits than its factorization.

91564618719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13066 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 91564618719168 in words is "ninety-one trillion, five hundred sixty-four billion, six hundred eighteen million, seven hundred nineteen thousand, one hundred sixty-eight".