84743568463129 has 9 divisors (see below), whose sum is σ = 85191342583711. Its totient is φ = 84298135789480.

The previous prime is 84743568463123. The next prime is 84743568463163. The reversal of 84743568463129 is 92136486534748.

The square root of 84743568463129 is 9205627.

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

It can be written as a sum of positive squares in only one way, i.e., 68698320518025 + 16045247945104 = 8288445^2 + 4005652^2 .

It is not a de Polignac number, because 84743568463129 - 2¹⁵ = 84743568430361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84743568463123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1758250659 + ... + 1758298855.

Almost surely, 2^{84743568463129} is an apocalyptic number.

84743568463129 is the 9205627-th square number.

84743568463129 is the 4602814-th centered octagonal number.

It is an amenable number.

84743568463129 is a deficient number, since it is larger than the sum of its proper divisors (447774120582).

84743568463129 is an frugal number, since it uses more digits than its factorization.

84743568463129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96776 (or 48388 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 70.

The spelling of 84743568463129 in words is "eighty-four trillion, seven hundred forty-three billion, five hundred sixty-eight million, four hundred sixty-three thousand, one hundred twenty-nine".