86693348448 has 144 divisors (see below), whose sum is σ = 282996080640. Its totient is φ = 24660281088.

The previous prime is 86693348389. The next prime is 86693348471. The reversal of 86693348448 is 84484339668.

86693348448 is a `hidden beast` number, since 8 + 66 + 93 + 3 + 48 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362913 + ... + 552351.

It is an arithmetic number, because the mean of its divisors is an integer number (1965250560).

Almost surely, 2^86693348448 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 86693348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141498040320).

86693348448 is an abundant number, since it is smaller than the sum of its proper divisors (196302732192).

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

86693348448 is a wasteful number, since it uses less digits than its factorization.

86693348448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189689 (or 189678 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 86693348448 in words is "eighty-six billion, six hundred ninety-three million, three hundred forty-eight thousand, four hundred forty-eight".