18229825729600 has 189 divisors, whose sum is σ = 45190793952877. Its totient is φ = 7238030356480.

The previous prime is 18229825729597. The next prime is 18229825729601. The reversal of 18229825729600 is 692752892281.

The square root of 18229825729600 is 4269640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13897566467136 + 4332259262464 = 3727944^2 + 2081408^2 .

It is a super-2 number, since 2×18229825729600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18229825729601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 29545908492 + ... + 29545909108.

Almost surely, 2^{18229825729600} is an apocalyptic number.

18229825729600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18229825729600 is the 4269640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18229825729600

18229825729600 is an abundant number, since it is smaller than the sum of its proper divisors (26960968223277).

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

18229825729600 is an frugal number, since it uses more digits than its factorization.

18229825729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 18229825729600 in words is "eighteen trillion, two hundred twenty-nine billion, eight hundred twenty-five million, seven hundred twenty-nine thousand, six hundred".