382771818000 has 2400 divisors, whose sum is σ = 1727043462144. Its totient is φ = 80870400000.

The previous prime is 382771817977. The next prime is 382771818007. The reversal of 382771818000 is 818177283.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (382771818007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9335897980 + ... + 9335898020.

Almost surely, 2^382771818000 is an apocalyptic number.

382771818000 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 382771818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863521731072).

382771818000 is an abundant number, since it is smaller than the sum of its proper divisors (1344271644144).

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

382771818000 is a wasteful number, since it uses less digits than its factorization.

382771818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 382771818000 in words is "three hundred eighty-two billion, seven hundred seventy-one million, eight hundred eighteen thousand".