18201145038400 has 63 divisors (see below), whose sum is σ = 44786612422659. Its totient is φ = 7280389754880.

The previous prime is 18201145038353. The next prime is 18201145038451. The reversal of 18201145038400 is 483054110281.

The square root of 18201145038400 is 4266280.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2653328241216 + 15547816797184 = 1628904^2 + 3943072^2 .

It is a super-5 number, since 5×18201145038400⁵ (a number of 67 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18201145038400.

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 8 ways as a sum of consecutive naturals, for example, 170597872 + ... + 170704528.

Almost surely, 2^{18201145038400} is an apocalyptic number.

18201145038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18201145038400 is the 4266280-th square number.

It is an amenable number.

18201145038400 is an abundant number, since it is smaller than the sum of its proper divisors (26585467384259).

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

18201145038400 is an frugal number, since it uses more digits than its factorization.

18201145038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213336 (or 106664 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

Adding to 18201145038400 its reverse (483054110281), we get a palindrome (18684199148681).

The spelling of 18201145038400 in words is "eighteen trillion, two hundred one billion, one hundred forty-five million, thirty-eight thousand, four hundred".