91994129101449 has 81 divisors (see below), whose sum is σ = 136601078779893. Its totient is φ = 59658547463424.

The previous prime is 91994129101393. The next prime is 91994129101477. The reversal of 91994129101449 is 94410192149919.

The square root of 91994129101449 is 9591357.

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

91994129101449 is a `hidden beast` number, since 9 + 1 + 9 + 94 + 12 + 91 + 0 + 1 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10300829049 + 91983828272400 = 101493^2 + 9590820^2 .

It is not a de Polignac number, because 91994129101449 - 2⁷ = 91994129101321 is a prime.

It is a super-2 number, since 2×91994129101449² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91994129101549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 272979611409 + ... + 272979611745.

Almost surely, 2^{91994129101449} is an apocalyptic number.

91994129101449 is the 9591357-th square number.

91994129101449 is the 4795679-th centered octagonal number.

It is an amenable number.

91994129101449 is a deficient number, since it is larger than the sum of its proper divisors (44606949678444).

91994129101449 is an frugal number, since it uses more digits than its factorization.

91994129101449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 91994129101449 in words is "ninety-one trillion, nine hundred ninety-four billion, one hundred twenty-nine million, one hundred one thousand, four hundred forty-nine".