1384589638656 has 352 divisors, whose sum is σ = 4691810465280. Its totient is φ = 395129290752.

The previous prime is 1384589638651. The next prime is 1384589638687. The reversal of 1384589638656 is 6568369854831.

1384589638656 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 589 + 6 + 38 + 6 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384589638651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 184436055 + ... + 184443561.

Almost surely, 2^{1384589638656} is an apocalyptic number.

1384589638656 is a gapful number since it is divisible by the number (16) 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 1384589638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345905232640).

1384589638656 is an abundant number, since it is smaller than the sum of its proper divisors (3307220826624).

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

1384589638656 is an equidigital number, since it uses as much as digits as its factorization.

1384589638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8472 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 1384589638656 in words is "one trillion, three hundred eighty-four billion, five hundred eighty-nine million, six hundred thirty-eight thousand, six hundred fifty-six".