382020923284416 has 896 divisors, whose sum is σ = 1280430779443200. Its totient is φ = 110804730347520.

The previous prime is 382020923284397. The next prime is 382020923284433. The reversal of 382020923284416 is 614482329020283.

382020923284416 is a `hidden beast` number, since 3 + 82 + 0 + 2 + 0 + 92 + 32 + 8 + 441 + 6 = 666.

It is a super-2 number, since 2×382020923284416² (a number of 30 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 14117015526 + ... + 14117042586.

It is an arithmetic number, because the mean of its divisors is an integer number (1429052209200).

Almost surely, 2^{382020923284416} is an apocalyptic number.

382020923284416 is a gapful number since it is divisible by the number (36) 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 382020923284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640215389721600).

382020923284416 is an abundant number, since it is smaller than the sum of its proper divisors (898409856158784).

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

382020923284416 is a wasteful number, since it uses less digits than its factorization.

382020923284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27514 (or 27498 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 382020923284416 in words is "three hundred eighty-two trillion, twenty billion, nine hundred twenty-three million, two hundred eighty-four thousand, four hundred sixteen".