18120948480 has 288 divisors, whose sum is σ = 65401459200. Its totient is φ = 4749815808.

The previous prime is 18120948467. The next prime is 18120948511. The reversal of 18120948480 is 8484902181.

18120948480 is a `hidden beast` number, since 1 + 8 + 120 + 9 + 48 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034597 + ... + 2043483.

It is an arithmetic number, because the mean of its divisors is an integer number (227088400).

Almost surely, 2^18120948480 is an apocalyptic number.

18120948480 is a gapful number since it is divisible by the number (10) 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 18120948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32700729600).

18120948480 is an abundant number, since it is smaller than the sum of its proper divisors (47280510720).

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

18120948480 is an equidigital number, since it uses as much as digits as its factorization.

18120948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18120948480 in words is "eighteen billion, one hundred twenty million, nine hundred forty-eight thousand, four hundred eighty".