4829129318016 has 128 divisors (see below), whose sum is σ = 14277605284800. Its totient is φ = 1606890009600.

The previous prime is 4829129317981. The next prime is 4829129318029. The reversal of 4829129318016 is 6108139219284.

It is a happy number.

4829129318016 is a `hidden beast` number, since 4 + 8 + 291 + 29 + 318 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749806 + ... + 3196946.

Almost surely, 2^{4829129318016} 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 4829129318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138802642400).

4829129318016 is an abundant number, since it is smaller than the sum of its proper divisors (9448475966784).

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

4829129318016 is a wasteful number, since it uses less digits than its factorization.

4829129318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447735 (or 2447717 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 4829129318016 in words is "four trillion, eight hundred twenty-nine billion, one hundred twenty-nine million, three hundred eighteen thousand, sixteen".