4147945164 has 144 divisors (see below), whose sum is σ = 11651211936. Its totient is φ = 1233792000.

The previous prime is 4147945159. The next prime is 4147945171. The reversal of 4147945164 is 4615497414.

4147945164 is a `hidden beast` number, since 4 + 1 + 47 + 94 + 516 + 4 = 666.

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, 5479074 + ... + 5479830.

It is an arithmetic number, because the mean of its divisors is an integer number (80911194).

Almost surely, 2^4147945164 is an apocalyptic number.

4147945164 is a gapful number since it is divisible by the number (44) 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 4147945164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825605968).

4147945164 is an abundant number, since it is smaller than the sum of its proper divisors (7503266772).

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

4147945164 is a wasteful number, since it uses less digits than its factorization.

4147945164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1011 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4147945164 is about 64404.5430385155. The cubic root of 4147945164 is about 1606.7353007722.

The spelling of 4147945164 in words is "four billion, one hundred forty-seven million, nine hundred forty-five thousand, one hundred sixty-four".