4873706182224 has 240 divisors, whose sum is σ = 15670428933120. Its totient is φ = 1398460412160.

The previous prime is 4873706182223. The next prime is 4873706182237. The reversal of 4873706182224 is 4222816073784.

4873706182224 is a `hidden beast` number, since 48 + 7 + 370 + 6 + 1 + 8 + 2 + 224 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873706182223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62651097 + ... + 62728839.

It is an arithmetic number, because the mean of its divisors is an integer number (65293453888).

Almost surely, 2^{4873706182224} is an apocalyptic number.

4873706182224 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 4873706182224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835214466560).

4873706182224 is an abundant number, since it is smaller than the sum of its proper divisors (10796722750896).

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

4873706182224 is a wasteful number, since it uses less digits than its factorization.

4873706182224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79870 (or 79861 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4873706182224 in words is "four trillion, eight hundred seventy-three billion, seven hundred six million, one hundred eighty-two thousand, two hundred twenty-four".