86241481561 has 9 divisors (see below), whose sum is σ = 88646497149. Its totient is φ = 83900058624.

The previous prime is 86241481553. The next prime is 86241481603. The reversal of 86241481561 is 16518414268.

The square root of 86241481561 is 293669.

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

It can be written as a sum of positive squares in 4 ways, for example, as 71894233161 + 14347248400 = 268131^2 + 119780^2 .

It is not a de Polignac number, because 86241481561 - 2³ = 86241481553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86241481961) 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, 10861785 + ... + 10869721.

Almost surely, 2^86241481561 is an apocalyptic number.

86241481561 is the 293669-th square number.

86241481561 is the 146835-th centered octagonal number.

It is an amenable number.

86241481561 is a deficient number, since it is larger than the sum of its proper divisors (2405015588).

86241481561 is an frugal number, since it uses more digits than its factorization.

86241481561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948 (or 7974 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The spelling of 86241481561 in words is "eighty-six billion, two hundred forty-one million, four hundred eighty-one thousand, five hundred sixty-one".