86343966756 has 144 divisors (see below), whose sum is σ = 241264623600. Its totient is φ = 25913696256.

The previous prime is 86343966713. The next prime is 86343966803. The reversal of 86343966756 is 65766934368.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18257414400 + 68086552356 = 135120^2 + 260934^2 .

It is a super-2 number, since 2×86343966756² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86343966693 and 86343966702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912216 + ... + 1956848.

It is an arithmetic number, because the mean of its divisors is an integer number (1675448775).

Almost surely, 2^86343966756 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 86343966756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120632311800).

86343966756 is an abundant number, since it is smaller than the sum of its proper divisors (154920656844).

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

86343966756 is a wasteful number, since it uses less digits than its factorization.

86343966756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44798 (or 44793 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 86343966756 in words is "eighty-six billion, three hundred forty-three million, nine hundred sixty-six thousand, seven hundred fifty-six".