91478263838329 has 9 divisors (see below), whose sum is σ = 91547668097263. Its totient is φ = 91408912178152.

The previous prime is 91478263838281. The next prime is 91478263838347. The reversal of 91478263838329 is 92383836287419.

The square root of 91478263838329 is 9564427.

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

It can be written as a sum of positive squares in only one way, i.e., 40633549058025 + 50844714780304 = 6374445^2 + 7130548^2 .

It is not a de Polignac number, because 91478263838329 - 2²¹ = 91478261741177 is a prime.

It is a super-3 number, since 3×91478263838329³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91478263878329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16575149232 + ... + 16575154750.

Almost surely, 2^{91478263838329} is an apocalyptic number.

91478263838329 is the 9564427-th square number.

91478263838329 is the 4782214-th centered octagonal number.

It is an amenable number.

91478263838329 is a deficient number, since it is larger than the sum of its proper divisors (69404258934).

91478263838329 is an frugal number, since it uses more digits than its factorization.

91478263838329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14504 (or 7252 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 73.

The spelling of 91478263838329 in words is "ninety-one trillion, four hundred seventy-eight billion, two hundred sixty-three million, eight hundred thirty-eight thousand, three hundred twenty-nine".