91753658488969 has 3 divisors (see below), whose sum is σ = 91753668067783. Its totient is φ = 91753648910156.

The previous prime is 91753658488939. The next prime is 91753658489041. The reversal of 91753658488969 is 96988485635719.

It is a happy number.

The square root of 91753658488969 is 9578813.

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.

It can be written as a sum of positive squares in only one way, i.e., 88710685263225 + 3042973225744 = 9418635^2 + 1744412^2 .

It is not a de Polignac number, because 91753658488969 - 2⁴³ = 82957565466761 is a prime.

It is a super-2 number, since 2×91753658488969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91753658488969.

It is not an unprimeable number, because it can be changed into a prime (91753658488909) 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 2 ways as a sum of consecutive naturals, for example, 4789407 + ... + 14368219.

Almost surely, 2^{91753658488969} is an apocalyptic number.

91753658488969 is the 9578813-rd square number.

91753658488969 is the 4789407-th centered octagonal number.

It is an amenable number.

91753658488969 is a deficient number, since it is larger than the sum of its proper divisors (9578814).

91753658488969 is an frugal number, since it uses more digits than its factorization.

91753658488969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19157626 (or 9578813 counting only the distinct ones).

The product of its digits is 28217548800, while the sum is 88.

The spelling of 91753658488969 in words is "ninety-one trillion, seven hundred fifty-three billion, six hundred fifty-eight million, four hundred eighty-eight thousand, nine hundred sixty-nine".