1384146207584 has 384 divisors, whose sum is σ = 3497248161792. Its totient is φ = 525589585920.

The previous prime is 1384146207583. The next prime is 1384146207623. The reversal of 1384146207584 is 4857026414831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384146207583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1862915117 + ... + 1862915859.

It is an arithmetic number, because the mean of its divisors is an integer number (9107417088).

Almost surely, 2^{1384146207584} is an apocalyptic number.

1384146207584 is a gapful number since it is divisible by the number (14) 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 1384146207584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748624080896).

1384146207584 is an abundant number, since it is smaller than the sum of its proper divisors (2113101954208).

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

1384146207584 is a wasteful number, since it uses less digits than its factorization.

1384146207584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 1384146207584 in words is "one trillion, three hundred eighty-four billion, one hundred forty-six million, two hundred seven thousand, five hundred eighty-four".