84344478405625 has 15 divisors (see below), whose sum is σ = 105397147122267. Its totient is φ = 67475399046000.

The previous prime is 84344478405599. The next prime is 84344478405673. The reversal of 84344478405625 is 52650487444348.

It is a happy number.

The square root of 84344478405625 is 9183925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8350787991529 + 75993690414096 = 2889773^2 + 8717436^2 .

It is not a de Polignac number, because 84344478405625 - 2²⁵ = 84344444851193 is a prime.

It is a super-2 number, since 2×84344478405625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 229414447 + ... + 229781803.

Almost surely, 2^{84344478405625} is an apocalyptic number.

84344478405625 is the 9183925-th square number.

84344478405625 is the 4591963-rd centered octagonal number.

It is an amenable number.

84344478405625 is a deficient number, since it is larger than the sum of its proper divisors (21052668716642).

84344478405625 is an frugal number, since it uses more digits than its factorization.

84344478405625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734734 (or 367362 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 64.

The spelling of 84344478405625 in words is "eighty-four trillion, three hundred forty-four billion, four hundred seventy-eight million, four hundred five thousand, six hundred twenty-five".