4830002182368 has 360 divisors, whose sum is σ = 15630144075000. Its totient is φ = 1413131005440.

The previous prime is 4830002182367. The next prime is 4830002182391. The reversal of 4830002182368 is 8632812000384.

4830002182368 is a `hidden beast` number, since 48 + 30 + 0 + 0 + 218 + 2 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4830002182367) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 122261883 + ... + 122301381.

It is an arithmetic number, because the mean of its divisors is an integer number (43417066875).

Almost surely, 2^{4830002182368} is an apocalyptic number.

4830002182368 is a gapful number since it is divisible by the number (48) 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 4830002182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815072037500).

4830002182368 is an abundant number, since it is smaller than the sum of its proper divisors (10800141892632).

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

4830002182368 is a wasteful number, since it uses less digits than its factorization.

4830002182368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39588 (or 39544 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4830002182368 in words is "four trillion, eight hundred thirty billion, two million, one hundred eighty-two thousand, three hundred sixty-eight".