84429145938753 has 128 divisors (see below), whose sum is σ = 161453598105600. Its totient is φ = 42312244665600.

The previous prime is 84429145938713. The next prime is 84429145938779. The reversal of 84429145938753 is 35783954192448.

84429145938753 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 91 + 459 + 3 + 87 + 5 + 3 = 666.

It is not a de Polignac number, because 84429145938753 - 2¹⁰ = 84429145937729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84429145938713) 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 127 ways as a sum of consecutive naturals, for example, 73163383 + ... + 74308403.

It is an arithmetic number, because the mean of its divisors is an integer number (1261356235200).

Almost surely, 2^{84429145938753} is an apocalyptic number.

It is an amenable number.

84429145938753 is a deficient number, since it is larger than the sum of its proper divisors (77024452166847).

84429145938753 is a wasteful number, since it uses less digits than its factorization.

84429145938753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146300 (or 1146294 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 84429145938753 in words is "eighty-four trillion, four hundred twenty-nine billion, one hundred forty-five million, nine hundred thirty-eight thousand, seven hundred fifty-three".