4541681664 has 351 divisors, whose sum is σ = 14751196473. Its totient is φ = 1397440512.

The previous prime is 4541681653. The next prime is 4541681681. The reversal of 4541681664 is 4661861454.

The square root of 4541681664 is 67392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 671846400 + 3869835264 = 25920^2 + 62208^2 .

It is a tau number, because it is divible by the number of its divisors (351).

It is a super-2 number, since 2×4541681664² = 41253744674227617792, which contains 22 as substring.

Its product of digits (552960) is a multiple of the sum of its prime divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 349360122 + ... + 349360134.

Almost surely, 2^4541681664 is an apocalyptic number.

4541681664 is the 67392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4541681664

4541681664 is an abundant number, since it is smaller than the sum of its proper divisors (10209514809).

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

4541681664 is an frugal number, since it uses more digits than its factorization.

4541681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 18 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The cubic root of 4541681664 is about 1656.0453673772.

The spelling of 4541681664 in words is "four billion, five hundred forty-one million, six hundred eighty-one thousand, six hundred sixty-four".