91685092190472 has 144 divisors (see below), whose sum is σ = 272951293409340. Its totient is φ = 27782206848000.

The previous prime is 91685092190431. The next prime is 91685092190473. The reversal of 91685092190472 is 27409129058619.

91685092190472 is a `hidden beast` number, since 9 + 1 + 6 + 8 + 50 + 9 + 21 + 90 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75624346643076 + 16060745547396 = 8696226^2 + 4007586^2 .

It is a super-2 number, since 2×91685092190472² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91685092190473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222481572 + ... + 222893292.

Almost surely, 2^{91685092190472} 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 91685092190472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136475646704670).

91685092190472 is an abundant number, since it is smaller than the sum of its proper divisors (181266201218868).

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

91685092190472 is a wasteful number, since it uses less digits than its factorization.

91685092190472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437316 (or 437298 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 91685092190472 in words is "ninety-one trillion, six hundred eighty-five billion, ninety-two million, one hundred ninety thousand, four hundred seventy-two".