85415469718401 has 27 divisors (see below), whose sum is σ = 125436130165827. Its totient is φ = 56009035031760.

The previous prime is 85415469718373. The next prime is 85415469718463. The reversal of 85415469718401 is 10481796451458.

The square root of 85415469718401 is 9242049.

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

85415469718401 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 546 + 9 + 7 + 1 + 84 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2777552226801 + 82637917491600 = 1666599^2 + 9090540^2 .

It is not a de Polignac number, because 85415469718401 - 2¹³ = 85415469710209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85415469713401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1691269716 + ... + 1691320218.

Almost surely, 2^{85415469718401} is an apocalyptic number.

85415469718401 is the 9242049-th square number.

85415469718401 is the 4621025-th centered octagonal number.

It is an amenable number.

85415469718401 is a deficient number, since it is larger than the sum of its proper divisors (40020660447426).

85415469718401 is an frugal number, since it uses more digits than its factorization.

85415469718401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101134 (or 50567 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 85415469718401 in words is "eighty-five trillion, four hundred fifteen billion, four hundred sixty-nine million, seven hundred eighteen thousand, four hundred one".