4146504912 has 160 divisors (see below), whose sum is σ = 13432176000. Its totient is φ = 1213148160.

The previous prime is 4146504907. The next prime is 4146504917. The reversal of 4146504912 is 2194056414.

4146504912 is a `hidden beast` number, since 4 + 146 + 504 + 9 + 1 + 2 = 666.

4146504912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4146504907) and next prime (4146504917).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146504917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122764 + ... + 152852.

It is an arithmetic number, because the mean of its divisors is an integer number (83951100).

Almost surely, 2^4146504912 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 4146504912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716088000).

4146504912 is an abundant number, since it is smaller than the sum of its proper divisors (9285671088).

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

4146504912 is a wasteful number, since it uses less digits than its factorization.

4146504912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30146 (or 30134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4146504912 is about 64393.3607757818. The cubic root of 4146504912 is about 1606.5493153806.

The spelling of 4146504912 in words is "four billion, one hundred forty-six million, five hundred four thousand, nine hundred twelve".