18945054720 has 288 divisors, whose sum is σ = 66053988000. Its totient is φ = 5021761536.

The previous prime is 18945054697. The next prime is 18945054731. The reversal of 18945054720 is 2745054981.

18945054720 is a `hidden beast` number, since 1 + 89 + 4 + 5 + 0 + 547 + 20 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18339324 + ... + 18340356.

It is an arithmetic number, because the mean of its divisors is an integer number (229354125).

Almost surely, 2^18945054720 is an apocalyptic number.

18945054720 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 18945054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33026994000).

18945054720 is an abundant number, since it is smaller than the sum of its proper divisors (47108933280).

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

18945054720 is a wasteful number, since it uses less digits than its factorization.

18945054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 18945054720 in words is "eighteen billion, nine hundred forty-five million, fifty-four thousand, seven hundred twenty".