382763418138 has 80 divisors (see below), whose sum is σ = 865115539200. Its totient is φ = 126485419104.

The previous prime is 382763418091. The next prime is 382763418199. The reversal of 382763418138 is 831814367283.

It is a happy number.

382763418138 is a `hidden beast` number, since 38 + 2 + 7 + 63 + 418 + 138 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8908495 + ... + 8951357.

It is an arithmetic number, because the mean of its divisors is an integer number (10813944240).

Almost surely, 2^382763418138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382763418138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432557769600).

382763418138 is an abundant number, since it is smaller than the sum of its proper divisors (482352121062).

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

382763418138 is a wasteful number, since it uses less digits than its factorization.

382763418138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43353 (or 43344 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 382763418138 in words is "three hundred eighty-two billion, seven hundred sixty-three million, four hundred eighteen thousand, one hundred thirty-eight".