1518545664 has 288 divisors, whose sum is σ = 4892518400. Its totient is φ = 462827520.

The previous prime is 1518545627. The next prime is 1518545669. The reversal of 1518545664 is 4665458151.

1518545664 is a `hidden beast` number, since 1 + 5 + 1 + 85 + 4 + 566 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1518545669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4070982 + ... + 4071354.

Almost surely, 2^1518545664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1518545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446259200).

1518545664 is an abundant number, since it is smaller than the sum of its proper divisors (3373972736).

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

1518545664 is a wasteful number, since it uses less digits than its factorization.

1518545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1518545664 is about 38968.5214500114. The cubic root of 1518545664 is about 1149.4125957913.

The spelling of 1518545664 in words is "one billion, five hundred eighteen million, five hundred forty-five thousand, six hundred sixty-four".