84334706992449 has 45 divisors (see below), whose sum is σ = 126273157402161. Its totient is φ = 56093266451160.

The previous prime is 84334706992439. The next prime is 84334706992453. The reversal of 84334706992449 is 94429960743348.

It is a happy number.

The square root of 84334706992449 is 9183393.

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

84334706992449 is a `hidden beast` number, since 8 + 4 + 3 + 3 + 470 + 6 + 99 + 24 + 49 = 666.

It is not a de Polignac number, because 84334706992449 - 2³⁹ = 83784951178561 is a prime.

It is a super-2 number, since 2×84334706992449² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84334706992409) 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 44 ways as a sum of consecutive naturals, for example, 47193455734 + ... + 47193457520.

Almost surely, 2^{84334706992449} is an apocalyptic number.

84334706992449 is the 9183393-rd square number.

84334706992449 is the 4591697-th centered octagonal number.

It is an amenable number.

84334706992449 is a deficient number, since it is larger than the sum of its proper divisors (41938450409712).

84334706992449 is an frugal number, since it uses more digits than its factorization.

84334706992449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 84334706992449 in words is "eighty-four trillion, three hundred thirty-four billion, seven hundred six million, nine hundred ninety-two thousand, four hundred forty-nine".