382218384000 has 512 divisors, whose sum is σ = 1295865642240. Its totient is φ = 99632332800.

The previous prime is 382218383957. The next prime is 382218384013. The reversal of 382218384000 is 483812283.

It is a self number, because there is not a number n which added to its sum of digits gives 382218384000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504911622 + ... + 504912378.

Almost surely, 2^382218384000 is an apocalyptic number.

382218384000 is a gapful number since it is divisible by the number (30) 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 382218384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647932821120).

382218384000 is an abundant number, since it is smaller than the sum of its proper divisors (913647258240).

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

382218384000 is a wasteful number, since it uses less digits than its factorization.

382218384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 382218384000 in words is "three hundred eighty-two billion, two hundred eighteen million, three hundred eighty-four thousand".