18460485120 has 1280 divisors, whose sum is σ = 81457643520. Its totient is φ = 3450470400.

The previous prime is 18460485119. The next prime is 18460485149. The reversal of 18460485120 is 2158406481.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 348311014 + ... + 348311066.

It is an arithmetic number, because the mean of its divisors is an integer number (63638784).

Almost surely, 2^18460485120 is an apocalyptic number.

18460485120 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 18460485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40728821760).

18460485120 is an abundant number, since it is smaller than the sum of its proper divisors (62997158400).

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

18460485120 is a wasteful number, since it uses less digits than its factorization.

18460485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 18460485120 in words is "eighteen billion, four hundred sixty million, four hundred eighty-five thousand, one hundred twenty".