8226054144 has 840 divisors, whose sum is σ = 32542142688. Its totient is φ = 2043740160.

The previous prime is 8226054127. The next prime is 8226054169. The reversal of 8226054144 is 4414506228.

8226054144 is a `hidden beast` number, since 8 + 2 + 2 + 605 + 4 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8226054099 and 8226054108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 357654517 + ... + 357654539.

Almost surely, 2^8226054144 is an apocalyptic number.

8226054144 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 8226054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271071344).

8226054144 is an abundant number, since it is smaller than the sum of its proper divisors (24316088544).

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

8226054144 is a wasteful number, since it uses less digits than its factorization.

8226054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8226054144 is about 90697.5972338849. The cubic root of 8226054144 is about 2018.6631470856.

The spelling of 8226054144 in words is "eight billion, two hundred twenty-six million, fifty-four thousand, one hundred forty-four".