4879033698168 has 448 divisors, whose sum is σ = 16587354009600. Its totient is φ = 1313686460160.

The previous prime is 4879033698167. The next prime is 4879033698197. The reversal of 4879033698168 is 8618963309784.

4879033698168 is a `hidden beast` number, since 48 + 7 + 9 + 0 + 336 + 98 + 168 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 4879033698096 and 4879033698105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879033698167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148133830 + ... + 148166762.

Almost surely, 2^{4879033698168} 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 4879033698168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293677004800).

4879033698168 is an abundant number, since it is smaller than the sum of its proper divisors (11708320311432).

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

4879033698168 is a wasteful number, since it uses less digits than its factorization.

4879033698168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33174 (or 33155 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 4879033698168 in words is "four trillion, eight hundred seventy-nine billion, thirty-three million, six hundred ninety-eight thousand, one hundred sixty-eight".