382384304451072 has 3240 divisors, whose sum is σ = 1490997821000688. Its totient is φ = 97587570769920.

The previous prime is 382384304450987. The next prime is 382384304451091. The reversal of 382384304451072 is 270154403483283.

382384304451072 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 84 + 3 + 0 + 44 + 510 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1453932716413 + ... + 1453932716675.

Almost surely, 2^{382384304451072} is an apocalyptic number.

382384304451072 is a gapful number since it is divisible by the number (32) 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 382384304451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745498910500344).

382384304451072 is an abundant number, since it is smaller than the sum of its proper divisors (1108613516549616).

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

382384304451072 is an frugal number, since it uses more digits than its factorization.

382384304451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 382384304451072 in words is "three hundred eighty-two trillion, three hundred eighty-four billion, three hundred four million, four hundred fifty-one thousand, seventy-two".