384023132416 has 243 divisors, whose sum is σ = 982081729083. Its totient is φ = 149321948160.

The previous prime is 384023132401. The next prime is 384023132453. The reversal of 384023132416 is 614231320483.

The square root of 384023132416 is 619696.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763465221 + ... + 763465723.

Almost surely, 2^384023132416 is an apocalyptic number.

384023132416 is the 619696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384023132416

384023132416 is an abundant number, since it is smaller than the sum of its proper divisors (598058596667).

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

384023132416 is an frugal number, since it uses more digits than its factorization.

384023132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 384023132416 its reverse (614231320483), we get a palindrome (998254452899).

The spelling of 384023132416 in words is "three hundred eighty-four billion, twenty-three million, one hundred thirty-two thousand, four hundred sixteen".