86308480368 has 160 divisors (see below), whose sum is σ = 278977382400. Its totient is φ = 25310361600.

The previous prime is 86308480351. The next prime is 86308480387.

It is a happy number.

86308480368 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 145633 + ... + 440256.

It is an arithmetic number, because the mean of its divisors is an integer number (1743608640).

Almost surely, 2^86308480368 is an apocalyptic number.

86308480368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86308480368 is an abundant number, since it is smaller than the sum of its proper divisors (192668902032).

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

86308480368 is a wasteful number, since it uses less digits than its factorization.

86308480368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585948 (or 585936 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 86308480368 in words is "eighty-six billion, three hundred eight million, four hundred eighty thousand, three hundred sixty-eight".