4146509952 has 384 divisors, whose sum is σ = 13526472960. Its totient is φ = 1210761216.

The previous prime is 4146509921. The next prime is 4146509957. The reversal of 4146509952 is 2599056414.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4146509898 and 4146509907.

It is not an unprimeable number, because it can be changed into a prime (4146509957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30266428 + ... + 30266564.

It is an arithmetic number, because the mean of its divisors is an integer number (35225190).

Almost surely, 2^4146509952 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 4146509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763236480).

4146509952 is an abundant number, since it is smaller than the sum of its proper divisors (9379963008).

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

4146509952 is a wasteful number, since it uses less digits than its factorization.

4146509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4146509952 is about 64393.3999102392. The cubic root of 4146509952 is about 1606.5499662907.

The spelling of 4146509952 in words is "four billion, one hundred forty-six million, five hundred nine thousand, nine hundred fifty-two".