4863746212416 has 896 divisors, whose sum is σ = 18181344384000. Its totient is φ = 1282581651456.

The previous prime is 4863746212411. The next prime is 4863746212447. The reversal of 4863746212416 is 6142126473684.

4863746212416 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 7 + 4 + 6 + 212 + 416 = 666.

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 not an unprimeable number, because it can be changed into a prime (4863746212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 624113416 + ... + 624121208.

It is an arithmetic number, because the mean of its divisors is an integer number (20291679000).

Almost surely, 2^{4863746212416} 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 4863746212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090672192000).

4863746212416 is an abundant number, since it is smaller than the sum of its proper divisors (13317598171584).

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

4863746212416 is an frugal number, since it uses more digits than its factorization.

4863746212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7818 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 4863746212416 in words is "four trillion, eight hundred sixty-three billion, seven hundred forty-six million, two hundred twelve thousand, four hundred sixteen".