4181683968 has 576 divisors, whose sum is σ = 15768560640. Its totient is φ = 1074954240.

The previous prime is 4181683967. The next prime is 4181684033. The reversal of 4181683968 is 8693861814.

4181683968 is a `hidden beast` number, since 418 + 168 + 3 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181683967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43110096 + ... + 43110192.

Almost surely, 2^4181683968 is an apocalyptic number.

4181683968 is a gapful number since it is divisible by the number (48) 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 4181683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884280320).

4181683968 is an abundant number, since it is smaller than the sum of its proper divisors (11586876672).

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

4181683968 is an frugal number, since it uses more digits than its factorization.

4181683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4181683968 is about 64665.9413292654. The cubic root of 4181683968 is about 1611.0798624620.

The spelling of 4181683968 in words is "four billion, one hundred eighty-one million, six hundred eighty-three thousand, nine hundred sixty-eight".