86264446268 has 144 divisors (see below), whose sum is σ = 205048385472. Its totient is φ = 30899404800.

The previous prime is 86264446243. The next prime is 86264446321.

86264446268 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11315498 + ... + 11323118.

Almost surely, 2^86264446268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86264446268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102524192736).

86264446268 is an abundant number, since it is smaller than the sum of its proper divisors (118783939204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86264446268 is a wasteful number, since it uses less digits than its factorization.

86264446268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7911 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The spelling of 86264446268 in words is "eighty-six billion, two hundred sixty-four million, four hundred forty-six thousand, two hundred sixty-eight".