86337884837376 has 120 divisors (see below), whose sum is σ = 249265410914520. Its totient is φ = 28769081573376.

The previous prime is 86337884837359. The next prime is 86337884837423. The reversal of 86337884837376 is 67373848873368.

86337884837376 is a `hidden beast` number, since 8 + 6 + 33 + 78 + 8 + 483 + 7 + 37 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86337884837295 and 86337884837304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9666696 + ... + 16313208.

It is an arithmetic number, because the mean of its divisors is an integer number (2077211757621).

Almost surely, 2^{86337884837376} 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 86337884837376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124632705457260).

86337884837376 is an abundant number, since it is smaller than the sum of its proper divisors (162927526077144).

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

86337884837376 is a wasteful number, since it uses less digits than its factorization.

86337884837376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649356 (or 6649337 counting only the distinct ones).

The product of its digits is 16387080192, while the sum is 81.

The spelling of 86337884837376 in words is "eighty-six trillion, three hundred thirty-seven billion, eight hundred eighty-four million, eight hundred thirty-seven thousand, three hundred seventy-six".