91892040769 has 9 divisors (see below), whose sum is σ = 95179102473. Its totient is φ = 88714861872.

The previous prime is 91892040761. The next prime is 91892040791. The reversal of 91892040769 is 96704029819.

The square root of 91892040769 is 303137.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35681321025 + 56210719744 = 188895^2 + 237088^2 .

It is not a de Polignac number, because 91892040769 - 2³ = 91892040761 is a prime.

It is a super-2 number, since 2×91892040769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91892040761) 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, 8785747 + ... + 8796199.

Almost surely, 2^91892040769 is an apocalyptic number.

91892040769 is the 303137-th square number.

91892040769 is the 151569-th centered octagonal number.

It is an amenable number.

91892040769 is a deficient number, since it is larger than the sum of its proper divisors (3287061704).

91892040769 is an frugal number, since it uses more digits than its factorization.

91892040769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20964 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 91892040769 in words is "ninety-one billion, eight hundred ninety-two million, forty thousand, seven hundred sixty-nine".