382445854560 has 1440 divisors, whose sum is σ = 1746817646112. Its totient is φ = 77894369280.

The previous prime is 382445854471. The next prime is 382445854589. The reversal of 382445854560 is 65458544283.

382445854560 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 4 + 585 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 382445854497 and 382445854506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 370227804 + ... + 370228836.

Almost surely, 2^382445854560 is an apocalyptic number.

382445854560 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 382445854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873408823056).

382445854560 is an abundant number, since it is smaller than the sum of its proper divisors (1364371791552).

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

382445854560 is a wasteful number, since it uses less digits than its factorization.

382445854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 382445854560 in words is "three hundred eighty-two billion, four hundred forty-five million, eight hundred fifty-four thousand, five hundred sixty".