86401010468 has 12 divisors (see below), whose sum is σ = 151961577600. Its totient is φ = 42983416872.

The previous prime is 86401010461. The next prime is 86401010473.

86401010468 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86401010461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54271196 + ... + 54272787.

It is an arithmetic number, because the mean of its divisors is an integer number (12663464800).

Almost surely, 2^86401010468 is an apocalyptic number.

It is an amenable number.

86401010468 is a deficient number, since it is larger than the sum of its proper divisors (65560567132).

86401010468 is a wasteful number, since it uses less digits than its factorization.

86401010468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108544186 (or 108544184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

It can be divided in two parts, 864010 and 10468, that added together give a palindrome (874478).

The spelling of 86401010468 in words is "eighty-six billion, four hundred one million, ten thousand, four hundred sixty-eight".