86713144704 has 128 divisors (see below), whose sum is σ = 257355792000. Its totient is φ = 28742699520.

The previous prime is 86713144669. The next prime is 86713144751. The reversal of 86713144704 is 40744131768.

86713144704 is a `hidden beast` number, since 86 + 71 + 31 + 4 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 86713144704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548539 + ... + 688709.

It is an arithmetic number, because the mean of its divisors is an integer number (2010592125).

Almost surely, 2^86713144704 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 86713144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128677896000).

86713144704 is an abundant number, since it is smaller than the sum of its proper divisors (170642647296).

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

86713144704 is a wasteful number, since it uses less digits than its factorization.

86713144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140373 (or 140355 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 86713144704 in words is "eighty-six billion, seven hundred thirteen million, one hundred forty-four thousand, seven hundred four".