86934843968 has 112 divisors (see below), whose sum is σ = 202150236288. Its totient is φ = 36315648000.

The previous prime is 86934843943. The next prime is 86934843971.

86934843968 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 86934843898 and 86934843907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39141098 + ... + 39143318.

It is an arithmetic number, because the mean of its divisors is an integer number (1804912824).

Almost surely, 2^86934843968 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 86934843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101075118144).

86934843968 is an abundant number, since it is smaller than the sum of its proper divisors (115215392320).

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

86934843968 is a wasteful number, since it uses less digits than its factorization.

86934843968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4402 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 68.

The spelling of 86934843968 in words is "eighty-six billion, nine hundred thirty-four million, eight hundred forty-three thousand, nine hundred sixty-eight".