86944188769 has 9 divisors (see below), whose sum is σ = 88207241619. Its totient is φ = 85698982320.

The previous prime is 86944188713. The next prime is 86944188823. The reversal of 86944188769 is 96788144968.

The square root of 86944188769 is 294863.

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., 1043613025 + 85900575744 = 32305^2 + 293088^2 .

It is not a de Polignac number, because 86944188769 - 2⁹ = 86944188257 is a prime.

It is a super-2 number, since 2×86944188769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86944188698 and 86944188707.

It is not an unprimeable number, because it can be changed into a prime (86944138769) 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, 20933197 + ... + 20937349.

Almost surely, 2^86944188769 is an apocalyptic number.

86944188769 is the 294863-rd square number.

86944188769 is the 147432-nd centered octagonal number.

It is an amenable number.

86944188769 is a deficient number, since it is larger than the sum of its proper divisors (1263052850).

86944188769 is an frugal number, since it uses more digits than its factorization.

86944188769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8448 (or 4224 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 70.

The spelling of 86944188769 in words is "eighty-six billion, nine hundred forty-four million, one hundred eighty-eight thousand, seven hundred sixty-nine".