86961391314 has 64 divisors (see below), whose sum is σ = 206405591040. Its totient is φ = 23898047040.

The previous prime is 86961391313. The next prime is 86961391331. The reversal of 86961391314 is 41319316968.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86961391313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 184599 + ... + 456069.

It is an arithmetic number, because the mean of its divisors is an integer number (3225087360).

Almost surely, 2^86961391314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86961391314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103202795520).

86961391314 is an abundant number, since it is smaller than the sum of its proper divisors (119444199726).

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

86961391314 is a wasteful number, since it uses less digits than its factorization.

86961391314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271775.

The product of its digits is 839808, while the sum is 51.

The spelling of 86961391314 in words is "eighty-six billion, nine hundred sixty-one million, three hundred ninety-one thousand, three hundred fourteen".