18456474960 has 480 divisors, whose sum is σ = 79777751040. Its totient is φ = 3711052800.

The previous prime is 18456474937. The next prime is 18456474989. The reversal of 18456474960 is 6947465481.

18456474960 is a `hidden beast` number, since 1 + 8 + 4 + 564 + 74 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18456474897 and 18456474906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1713271 + ... + 1724009.

It is an arithmetic number, because the mean of its divisors is an integer number (166203648).

Almost surely, 2^18456474960 is an apocalyptic number.

18456474960 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 18456474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39888875520).

18456474960 is an abundant number, since it is smaller than the sum of its proper divisors (61321276080).

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

18456474960 is a wasteful number, since it uses less digits than its factorization.

18456474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18456474960 in words is "eighteen billion, four hundred fifty-six million, four hundred seventy-four thousand, nine hundred sixty".