4828861661184 has 1792 divisors, whose sum is σ = 17823775196160. Its totient is φ = 1289308078080.

The previous prime is 4828861661177. The next prime is 4828861661191. The reversal of 4828861661184 is 4811661688284.

4828861661184 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 8 + 6 + 1 + 6 + 611 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4828861661177) and next prime (4828861661191).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 102741737449 + ... + 102741737495.

Almost surely, 2^{4828861661184} is an apocalyptic number.

4828861661184 is a gapful number since it is divisible by the number (44) 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 4828861661184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911887598080).

4828861661184 is an abundant number, since it is smaller than the sum of its proper divisors (12994913534976).

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

4828861661184 is an equidigital number, since it uses as much as digits as its factorization.

4828861661184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 4828861661184 in words is "four trillion, eight hundred twenty-eight billion, eight hundred sixty-one million, six hundred sixty-one thousand, one hundred eighty-four".