8054452224 has 468 divisors, whose sum is σ = 29230861296. Its totient is φ = 2124251136.

The previous prime is 8054452183. The next prime is 8054452229. The reversal of 8054452224 is 4222544508.

8054452224 is a `hidden beast` number, since 80 + 54 + 4 + 522 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

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

It is not an unprimeable number, because it can be changed into a prime (8054452229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619573242 + ... + 619573254.

Almost surely, 2^8054452224 is an apocalyptic number.

8054452224 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 8054452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615430648).

8054452224 is an abundant number, since it is smaller than the sum of its proper divisors (21176409072).

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

8054452224 is an frugal number, since it uses more digits than its factorization.

8054452224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 8054452224 is about 89746.6000693062. The cubic root of 8054452224 is about 2004.5274287941.

The spelling of 8054452224 in words is "eight billion, fifty-four million, four hundred fifty-two thousand, two hundred twenty-four".