86474306688 has 256 divisors, whose sum is σ = 294119562240. Its totient is φ = 21853532160.

The previous prime is 86474306629. The next prime is 86474306707. The reversal of 86474306688 is 88660347468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054495 + ... + 1133537.

It is an arithmetic number, because the mean of its divisors is an integer number (1148904540).

Almost surely, 2^86474306688 is an apocalyptic number.

86474306688 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 86474306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147059781120).

86474306688 is an abundant number, since it is smaller than the sum of its proper divisors (207645255552).

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

86474306688 is a wasteful number, since it uses less digits than its factorization.

86474306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79115 (or 79103 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 86474306688 in words is "eighty-six billion, four hundred seventy-four million, three hundred six thousand, six hundred eighty-eight".