91464509761 has 9 divisors (see below), whose sum is σ = 91999585251. Its totient is φ = 90932533632.

The previous prime is 91464509737. The next prime is 91464509797. The reversal of 91464509761 is 16790546419.

The square root of 91464509761 is 302431.

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., 22160788225 + 69303721536 = 148865^2 + 263256^2 .

It is not a de Polignac number, because 91464509761 - 2²³ = 91456121153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91464509699 and 91464509708.

It is not an unprimeable number, because it can be changed into a prime (91464509711) 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, 58368400 + ... + 58369966.

It is an arithmetic number, because the mean of its divisors is an integer number (10222176139).

Almost surely, 2^91464509761 is an apocalyptic number.

91464509761 is the 302431-st square number.

91464509761 is the 151216-th centered octagonal number.

It is an amenable number.

91464509761 is a deficient number, since it is larger than the sum of its proper divisors (535075490).

91464509761 is an frugal number, since it uses more digits than its factorization.

91464509761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 91464509761 in words is "ninety-one billion, four hundred sixty-four million, five hundred nine thousand, seven hundred sixty-one".