91964808049 has 3 divisors (see below), whose sum is σ = 91965111307. Its totient is φ = 91964504792.

The previous prime is 91964808031. The next prime is 91964808071. The reversal of 91964808049 is 94080846919.

It is a happy number.

The square root of 91964808049 is 303257.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 94080846919 = 40213 ⋅2339563.

It can be written as a sum of positive squares in only one way, i.e., 10721567025 + 81243241024 = 103545^2 + 285032^2 .

It is not a de Polignac number, because 91964808049 - 2⁵ = 91964808017 is a prime.

It is a super-3 number, since 3×91964808049³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91964807984 and 91964808002.

It is not an unprimeable number, because it can be changed into a prime (91964808449) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 151629 + ... + 454885.

Almost surely, 2^91964808049 is an apocalyptic number.

91964808049 is the 303257-th square number.

91964808049 is the 151629-th centered octagonal number.

It is an amenable number.

91964808049 is a deficient number, since it is larger than the sum of its proper divisors (303258).

91964808049 is an frugal number, since it uses more digits than its factorization.

91964808049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606514 (or 303257 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 91964808049 in words is "ninety-one billion, nine hundred sixty-four million, eight hundred eight thousand, forty-nine".