224182080000 has 1050 divisors, whose sum is σ = 867153693087. Its totient is φ = 57853440000.

The previous prime is 224182079999. The next prime is 224182080053. The reversal of 224182080000 is 80281422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 51830896896 + 172351183104 = 227664^2 + 415152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334800.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 7231679985 + ... + 7231680015.

Almost surely, 2^224182080000 is an apocalyptic number.

224182080000 is a gapful number since it is divisible by the number (20) 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 224182080000

224182080000 is an abundant number, since it is smaller than the sum of its proper divisors (642971613087).

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

224182080000 is an frugal number, since it uses more digits than its factorization.

224182080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Multiplying 224182080000 by its product of nonzero digits (2048), we get a square (459124899840000 = 21427200²).

The spelling of 224182080000 in words is "two hundred twenty-four billion, one hundred eighty-two million, eighty thousand".