86199198409 has 9 divisors (see below), whose sum is σ = 86557990701. Its totient is φ = 85841890860.

The previous prime is 86199198389. The next prime is 86199198413. The reversal of 86199198409 is 90489199168.

The square root of 86199198409 is 293597.

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

It is not a de Polignac number, because 86199198409 - 2²³ = 86190809801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86199198419) 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, 97180164 + ... + 97181050.

Almost surely, 2^86199198409 is an apocalyptic number.

86199198409 is the 293597-th square number.

86199198409 is the 146799-th centered octagonal number.

It is an amenable number.

86199198409 is a deficient number, since it is larger than the sum of its proper divisors (358792292).

86199198409 is an frugal number, since it uses more digits than its factorization.

86199198409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 64.

Multiplying 86199198409 by its sum of digits (64), we get a square (5516748698176 = 2348776²).

It can be divided in two parts, 861991 and 98409, that added together give a square (960400 = 980²).

The spelling of 86199198409 in words is "eighty-six billion, one hundred ninety-nine million, one hundred ninety-eight thousand, four hundred nine".