4811218877088 has 768 divisors, whose sum is σ = 15882508454400. Its totient is φ = 1415490785280.

The previous prime is 4811218877081. The next prime is 4811218877111. The reversal of 4811218877088 is 8807788121184.

4811218877088 is a `hidden beast` number, since 481 + 1 + 2 + 1 + 8 + 8 + 7 + 70 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (4811218877081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4284254895 + ... + 4284256017.

It is an arithmetic number, because the mean of its divisors is an integer number (20680349550).

Almost surely, 2^{4811218877088} is an apocalyptic number.

4811218877088 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 4811218877088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941254227200).

4811218877088 is an abundant number, since it is smaller than the sum of its proper divisors (11071289577312).

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

4811218877088 is a wasteful number, since it uses less digits than its factorization.

4811218877088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 63.

The spelling of 4811218877088 in words is "four trillion, eight hundred eleven billion, two hundred eighteen million, eight hundred seventy-seven thousand, eighty-eight".