4146329664 has 63 divisors (see below), whose sum is σ = 11889136623. Its totient is φ = 1381594752.

The previous prime is 4146329659. The next prime is 4146329689. The reversal of 4146329664 is 4669236414.

The square root of 4146329664 is 64392.

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

4146329664 is a `hidden beast` number, since 4 + 1 + 4 + 632 + 9 + 6 + 6 + 4 = 666.

4146329664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1544067 + ... + 1546749.

Almost surely, 2^4146329664 is an apocalyptic number.

4146329664 is the 64392-nd square number.

It is an amenable number.

4146329664 is an abundant number, since it is smaller than the sum of its proper divisors (7742806959).

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

4146329664 is an frugal number, since it uses more digits than its factorization.

4146329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 2688 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The cubic root of 4146329664 is about 1606.5266819800.

The spelling of 4146329664 in words is "four billion, one hundred forty-six million, three hundred twenty-nine thousand, six hundred sixty-four".