86310801368 has 48 divisors (see below), whose sum is σ = 178176546240. Its totient is φ = 39167282880.

The previous prime is 86310801347. The next prime is 86310801391.

86310801368 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 293787²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 514130 + ... + 661022.

It is an arithmetic number, because the mean of its divisors is an integer number (3712011380).

Almost surely, 2^86310801368 is an apocalyptic number.

86310801368 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 86310801368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89088273120).

86310801368 is an abundant number, since it is smaller than the sum of its proper divisors (91865744872).

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

86310801368 is a wasteful number, since it uses less digits than its factorization.

86310801368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147528 (or 147513 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 86310801368 in words is "eighty-six billion, three hundred ten million, eight hundred one thousand, three hundred sixty-eight".