4918146768 has 160 divisors (see below), whose sum is σ = 14351025920. Its totient is φ = 1612431360.

The previous prime is 4918146719. The next prime is 4918146769. The reversal of 4918146768 is 8676418194.

4918146768 is a `hidden beast` number, since 49 + 1 + 81 + 467 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4918146769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10098621 + ... + 10099107.

It is an arithmetic number, because the mean of its divisors is an integer number (89693912).

Almost surely, 2^4918146768 is an apocalyptic number.

4918146768 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 4918146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175512960).

4918146768 is an abundant number, since it is smaller than the sum of its proper divisors (9432879152).

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

4918146768 is a wasteful number, since it uses less digits than its factorization.

4918146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 830 counting only the distinct ones).

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

The square root of 4918146768 is about 70129.4999839582. The cubic root of 4918146768 is about 1700.5934223559.

The spelling of 4918146768 in words is "four billion, nine hundred eighteen million, one hundred forty-six thousand, seven hundred sixty-eight".