18072293327104 has 243 divisors, whose sum is σ = 38186235245277. Its totient is φ = 8536041142272.

The previous prime is 18072293327089. The next prime is 18072293327107. The reversal of 18072293327104 is 40172339227081.

It is a happy number.

The square root of 18072293327104 is 4251152.

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

It can be written as a sum of positive squares in only one way, i.e., 16171336249600 + 1900957077504 = 4021360^2 + 1378752^2 .

It is a super-2 number, since 2×18072293327104² (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 (18072293327107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108217325229 + ... + 108217325395.

Almost surely, 2^{18072293327104} is an apocalyptic number.

18072293327104 is the 4251152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18072293327104

18072293327104 is an abundant number, since it is smaller than the sum of its proper divisors (20113941918173).

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

18072293327104 is an frugal number, since it uses more digits than its factorization.

18072293327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 18072293327104 by its sum of digits (49), we get a square (885542373028096 = 29758064²).

The spelling of 18072293327104 in words is "eighteen trillion, seventy-two billion, two hundred ninety-three million, three hundred twenty-seven thousand, one hundred four".