86938291609 has 27 divisors (see below), whose sum is σ = 96911471223. Its totient is φ = 77954415552.

The previous prime is 86938291607. The next prime is 86938291613. The reversal of 86938291609 is 90619283968.

The square root of 86938291609 is 294853.

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

It can be written as a sum of positive squares in 13 ways, for example, as 85658655625 + 1279635984 = 292675^2 + 35772^2 .

It is not a de Polignac number, because 86938291609 - 2¹ = 86938291607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86938291607) 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, 141823987 + ... + 141824599.

It is an arithmetic number, because the mean of its divisors is an integer number (3589313749).

Almost surely, 2^86938291609 is an apocalyptic number.

86938291609 is the 294853-rd square number.

86938291609 is the 147427-th centered octagonal number.

It is an amenable number.

86938291609 is a deficient number, since it is larger than the sum of its proper divisors (9973179614).

86938291609 is an frugal number, since it uses more digits than its factorization.

86938291609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 86938291609 in words is "eighty-six billion, nine hundred thirty-eight million, two hundred ninety-one thousand, six hundred nine".