86825345334 has 128 divisors (see below), whose sum is σ = 216618071040. Its totient is φ = 22589743104.

The previous prime is 86825345317. The next prime is 86825345353. The reversal of 86825345334 is 43354352868.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51163174 + ... + 51164870.

It is an arithmetic number, because the mean of its divisors is an integer number (1692328680).

Almost surely, 2^86825345334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86825345334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108309035520).

86825345334 is an abundant number, since it is smaller than the sum of its proper divisors (129792725706).

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

86825345334 is a wasteful number, since it uses less digits than its factorization.

86825345334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934.

The product of its digits is 8294400, while the sum is 51.

It can be divided in two parts, 8682534 and 5334, that added together give a palindrome (8687868).

The spelling of 86825345334 in words is "eighty-six billion, eight hundred twenty-five million, three hundred forty-five thousand, three hundred thirty-four".