18480949056 has 252 divisors, whose sum is σ = 55227158532. Its totient is φ = 5906055168.

The previous prime is 18480949037. The next prime is 18480949061. The reversal of 18480949056 is 65094908481.

It can be written as a sum of positive squares in 2 ways, for example, as 10874318400 + 7606630656 = 104280^2 + 87216^2 .

It is a super-2 number, since 2×18480949056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18480948993 and 18480949011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190525200 + ... + 190525296.

It is an arithmetic number, because the mean of its divisors is an integer number (219155391).

Almost surely, 2^18480949056 is an apocalyptic number.

18480949056 is a gapful number since it is divisible by the number (16) 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 18480949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27613579266).

18480949056 is an abundant number, since it is smaller than the sum of its proper divisors (36746209476).

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

18480949056 is an equidigital number, since it uses as much as digits as its factorization.

18480949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18480949056 in words is "eighteen billion, four hundred eighty million, nine hundred forty-nine thousand, fifty-six".