4052164608 has 336 divisors, whose sum is σ = 12834966456. Its totient is φ = 1226833920.

The previous prime is 4052164607. The next prime is 4052164609. The reversal of 4052164608 is 8064612504.

4052164608 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 1 + 646 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4052164607) and next prime (4052164609).

It can be written as a sum of positive squares in 4 ways, for example, as 3339915264 + 712249344 = 57792^2 + 26688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4052164607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66428898 + ... + 66428958.

Almost surely, 2^4052164608 is an apocalyptic number.

4052164608 is a gapful number since it is divisible by the number (48) 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 4052164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417483228).

4052164608 is an abundant number, since it is smaller than the sum of its proper divisors (8782801848).

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

4052164608 is a wasteful number, since it uses less digits than its factorization.

4052164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4052164608 is about 63656.6148016057. The cubic root of 4052164608 is about 1594.2717833490.

The spelling of 4052164608 in words is "four billion, fifty-two million, one hundred sixty-four thousand, six hundred eight".