86010306104484 has 144 divisors (see below), whose sum is σ = 231314501029248. Its totient is φ = 26853562358784.

The previous prime is 86010306104461. The next prime is 86010306104521. The reversal of 86010306104484 is 48440160301068.

86010306104484 is a `hidden beast` number, since 8 + 6 + 0 + 103 + 0 + 61 + 0 + 4 + 484 = 666.

86010306104484 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 336485094 + ... + 336740610.

It is an arithmetic number, because the mean of its divisors is an integer number (1606350701592).

Almost surely, 2^{86010306104484} 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 86010306104484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115657250514624).

86010306104484 is an abundant number, since it is smaller than the sum of its proper divisors (145304194924764).

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

86010306104484 is a wasteful number, since it uses less digits than its factorization.

86010306104484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258194 (or 258189 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86010306104484 in words is "eighty-six trillion, ten billion, three hundred six million, one hundred four thousand, four hundred eighty-four".