86734322343768 has 128 divisors (see below), whose sum is σ = 244203553751040. Its totient is φ = 25432700112000.

The previous prime is 86734322343743. The next prime is 86734322343793.

86734322343768 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86734322343743) and next prime (86734322343793).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 86734322343699 and 86734322343708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80741721 + ... + 81808887.

It is an arithmetic number, because the mean of its divisors is an integer number (1907840263680).

Almost surely, 2^{86734322343768} is an apocalyptic number.

86734322343768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86734322343768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122101776875520).

86734322343768 is an abundant number, since it is smaller than the sum of its proper divisors (157469231407272).

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

86734322343768 is a wasteful number, since it uses less digits than its factorization.

86734322343768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077149 (or 1077145 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 66.

The spelling of 86734322343768 in words is "eighty-six trillion, seven hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, seven hundred sixty-eight".