86371688617368 has 192 divisors, whose sum is σ = 271258973556480. Its totient is φ = 22433456981760.

The previous prime is 86371688617351. The next prime is 86371688617447.

86371688617368 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86371688617368² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86371688617293 and 86371688617302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876758371 + ... + 876856877.

It is an arithmetic number, because the mean of its divisors is an integer number (1412807153940).

Almost surely, 2^{86371688617368} is an apocalyptic number.

86371688617368 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 86371688617368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135629486778240).

86371688617368 is an abundant number, since it is smaller than the sum of its proper divisors (184887284939112).

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

86371688617368 is a wasteful number, since it uses less digits than its factorization.

86371688617368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141678 (or 141663 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 78.

The spelling of 86371688617368 in words is "eighty-six trillion, three hundred seventy-one billion, six hundred eighty-eight million, six hundred seventeen thousand, three hundred sixty-eight".