86224312944 has 480 divisors, whose sum is σ = 315244108800. Its totient is φ = 22312765440.

The previous prime is 86224312849. The next prime is 86224313011. The reversal of 86224312944 is 44921342268.

86224312944 is a `hidden beast` number, since 8 + 622 + 4 + 3 + 12 + 9 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86224312944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85454712 + ... + 85455720.

It is an arithmetic number, because the mean of its divisors is an integer number (656758560).

Almost surely, 2^86224312944 is an apocalyptic number.

86224312944 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 86224312944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157622054400).

86224312944 is an abundant number, since it is smaller than the sum of its proper divisors (229019795856).

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

86224312944 is a wasteful number, since it uses less digits than its factorization.

86224312944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1399 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 86224312944 in words is "eighty-six billion, two hundred twenty-four million, three hundred twelve thousand, nine hundred forty-four".