86444444468 has 24 divisors (see below), whose sum is σ = 152972377152. Its totient is φ = 42740734464.

The previous prime is 86444444467. The next prime is 86444444497.

86444444468 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86444444468² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86444444467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206330 + ... + 464177.

It is an arithmetic number, because the mean of its divisors is an integer number (6373849048).

Almost surely, 2^86444444468 is an apocalyptic number.

It is an amenable number.

86444444468 is a deficient number, since it is larger than the sum of its proper divisors (66527932684).

86444444468 is a wasteful number, since it uses less digits than its factorization.

86444444468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670871 (or 670869 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 56.

The spelling of 86444444468 in words is "eighty-six billion, four hundred forty-four million, four hundred forty-four thousand, four hundred sixty-eight".