4830429686456 has 128 divisors (see below), whose sum is σ = 10300711680000. Its totient is φ = 2104105651200.

The previous prime is 4830429686431. The next prime is 4830429686479. The reversal of 4830429686456 is 6546869240384.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4830429686392 and 4830429686401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 242493665 + ... + 242513583.

It is an arithmetic number, because the mean of its divisors is an integer number (80474310000).

Almost surely, 2^{4830429686456} 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 4830429686456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150355840000).

4830429686456 is an abundant number, since it is smaller than the sum of its proper divisors (5470281993544).

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

4830429686456 is a wasteful number, since it uses less digits than its factorization.

4830429686456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21093 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 65.

The spelling of 4830429686456 in words is "four trillion, eight hundred thirty billion, four hundred twenty-nine million, six hundred eighty-six thousand, four hundred fifty-six".