86416597089 has 45 divisors (see below), whose sum is σ = 130914936867. Its totient is φ = 56808534816.

The previous prime is 86416597087. The next prime is 86416597093. The reversal of 86416597089 is 98079561468.

The square root of 86416597089 is 293967.

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., 16593819489 + 69822777600 = 128817^2 + 264240^2 .

It is not a de Polignac number, because 86416597089 - 2¹ = 86416597087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86416597081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 235467384 + ... + 235467750.

Almost surely, 2^86416597089 is an apocalyptic number.

86416597089 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

86416597089 is the 293967-th square number.

86416597089 is the 146984-th centered octagonal number.

It is an amenable number.

86416597089 is a deficient number, since it is larger than the sum of its proper divisors (44498339778).

86416597089 is an frugal number, since it uses more digits than its factorization.

86416597089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 86416597089 in words is "eighty-six billion, four hundred sixteen million, five hundred ninety-seven thousand, eighty-nine".