4178946816 has 432 divisors, whose sum is σ = 14142256128. Its totient is φ = 1219276800.

The previous prime is 4178946803. The next prime is 4178946823. The reversal of 4178946816 is 6186498714.

4178946816 is a `hidden beast` number, since 4 + 178 + 9 + 468 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

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, 21212830 + ... + 21213026.

It is an arithmetic number, because the mean of its divisors is an integer number (32736704).

Almost surely, 2^4178946816 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 4178946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071128064).

4178946816 is an abundant number, since it is smaller than the sum of its proper divisors (9963309312).

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

4178946816 is a wasteful number, since it uses less digits than its factorization.

4178946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4178946816 is about 64644.7740811274. The cubic root of 4178946816 is about 1610.7282710138.

The spelling of 4178946816 in words is "four billion, one hundred seventy-eight million, nine hundred forty-six thousand, eight hundred sixteen".