91304732733201 has 81 divisors (see below), whose sum is σ = 143388765368667. Its totient is φ = 55960722024480.

The previous prime is 91304732733199. The next prime is 91304732733217. The reversal of 91304732733201 is 10233723740319.

The square root of 91304732733201 is 9555351.

It is a perfect power (a square), and thus also a powerful number.

91304732733201 is a `hidden beast` number, since 9 + 1 + 304 + 7 + 3 + 2 + 7 + 332 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13506617268225 + 77798115464976 = 3675135^2 + 8820324^2 .

It is not a de Polignac number, because 91304732733201 - 2¹ = 91304732733199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91304732733601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 182975416050 + ... + 182975416548.

Almost surely, 2^{91304732733201} is an apocalyptic number.

91304732733201 is the 9555351-st square number.

91304732733201 is the 4777676-th centered octagonal number.

It is an amenable number.

91304732733201 is a deficient number, since it is larger than the sum of its proper divisors (52084032635466).

91304732733201 is an frugal number, since it uses more digits than its factorization.

91304732733201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 91304732733201 in words is "ninety-one trillion, three hundred four billion, seven hundred thirty-two million, seven hundred thirty-three thousand, two hundred one".