4148564832 has 288 divisors, whose sum is σ = 12906915840. Its totient is φ = 1260103680.

The previous prime is 4148564807. The next prime is 4148564843. The reversal of 4148564832 is 2384658414.

4148564832 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 564 + 83 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18275503 + ... + 18275729.

It is an arithmetic number, because the mean of its divisors is an integer number (44815680).

Almost surely, 2^4148564832 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 4148564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453457920).

4148564832 is an abundant number, since it is smaller than the sum of its proper divisors (8758351008).

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

4148564832 is a wasteful number, since it uses less digits than its factorization.

4148564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4148564832 is about 64409.3536064445. The cubic root of 4148564832 is about 1606.8153076861.

The spelling of 4148564832 in words is "four billion, one hundred forty-eight million, five hundred sixty-four thousand, eight hundred thirty-two".