18073451340672 has 1536 divisors, whose sum is σ = 66121942924800. Its totient is φ = 4319166136320.

The previous prime is 18073451340649. The next prime is 18073451340677. The reversal of 18073451340672 is 27604315437081.

It is a super-3 number, since 3×18073451340672³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18073451340677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10489524003 + ... + 10489525725.

It is an arithmetic number, because the mean of its divisors is an integer number (43048139925).

Almost surely, 2^{18073451340672} is an apocalyptic number.

18073451340672 is a gapful number since it is divisible by the number (12) 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 18073451340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33060971462400).

18073451340672 is an abundant number, since it is smaller than the sum of its proper divisors (48048491584128).

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

18073451340672 is a wasteful number, since it uses less digits than its factorization.

18073451340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 18073451340672 in words is "eighteen trillion, seventy-three billion, four hundred fifty-one million, three hundred forty thousand, six hundred seventy-two".