86404040448 has 288 divisors, whose sum is σ = 255969891072. Its totient is φ = 25654886400.

The previous prime is 86404040447. The next prime is 86404040477. The reversal of 86404040448 is 84404040468.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86404040447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165842428 + ... + 165842948.

It is an arithmetic number, because the mean of its divisors is an integer number (888784344).

Almost surely, 2^86404040448 is an apocalyptic number.

86404040448 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 86404040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127984945536).

86404040448 is an abundant number, since it is smaller than the sum of its proper divisors (169565850624).

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

86404040448 is a wasteful number, since it uses less digits than its factorization.

86404040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 86404040448 in words is "eighty-six billion, four hundred four million, forty thousand, four hundred forty-eight".