4146766344 has 192 divisors, whose sum is σ = 13636771200. Its totient is φ = 1111283712.

The previous prime is 4146766333. The next prime is 4146766357. The reversal of 4146766344 is 4436676414.

4146766344 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 7 + 6 + 634 + 4 = 666.

It is a super-2 number, since 2×4146766344² = 34391342223462252672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4146766344.

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, 3246634 + ... + 3247910.

It is an arithmetic number, because the mean of its divisors is an integer number (71024850).

Almost surely, 2^4146766344 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 4146766344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818385600).

4146766344 is an abundant number, since it is smaller than the sum of its proper divisors (9490004856).

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

4146766344 is a wasteful number, since it uses less digits than its factorization.

4146766344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1685 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4146766344 is about 64395.3907046149. The cubic root of 4146766344 is about 1606.5830783194.

The spelling of 4146766344 in words is "four billion, one hundred forty-six million, seven hundred sixty-six thousand, three hundred forty-four".