86044944384 has 240 divisors, whose sum is σ = 293729436000. Its totient is φ = 24583938048.

The previous prime is 86044944371. The next prime is 86044944493. The reversal of 86044944384 is 48344944068.

86044944384 is a `hidden beast` number, since 86 + 0 + 4 + 49 + 443 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86044944384.

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 19 ways as a sum of consecutive naturals, for example, 1124167 + ... + 1198265.

It is an arithmetic number, because the mean of its divisors is an integer number (1223872650).

Almost surely, 2^86044944384 is an apocalyptic number.

86044944384 is a gapful number since it is divisible by the number (84) 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 86044944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146864718000).

86044944384 is an abundant number, since it is smaller than the sum of its proper divisors (207684491616).

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

86044944384 is an equidigital number, since it uses as much as digits as its factorization.

86044944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74140 (or 74111 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 86044944384 in words is "eighty-six billion, forty-four million, nine hundred forty-four thousand, three hundred eighty-four".