91329884148889 has 27 divisors (see below), whose sum is σ = 92726684093277. Its totient is φ = 89954077697568.

The previous prime is 91329884148871. The next prime is 91329884148949. The reversal of 91329884148889 is 98884148892319.

The square root of 91329884148889 is 9556667.

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 54816772707225 + 36513111441664 = 7403835^2 + 6042608^2 .

It is not a de Polignac number, because 91329884148889 - 2¹¹ = 91329884146841 is a prime.

It is a super-3 number, since 3×91329884148889³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91329884148989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261690212287 + ... + 261690212635.

Almost surely, 2^{91329884148889} is an apocalyptic number.

91329884148889 is the 9556667-th square number.

91329884148889 is the 4778334-th centered octagonal number.

It is an amenable number.

91329884148889 is a deficient number, since it is larger than the sum of its proper divisors (1396799944388).

91329884148889 is an frugal number, since it uses more digits than its factorization.

91329884148889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 82.

The spelling of 91329884148889 in words is "ninety-one trillion, three hundred twenty-nine billion, eight hundred eighty-four million, one hundred forty-eight thousand, eight hundred eighty-nine".