1384117984512 has 504 divisors, whose sum is σ = 4358959242120. Its totient is φ = 437864693760.

The previous prime is 1384117984511. The next prime is 1384117984519. The reversal of 1384117984512 is 2154897114831.

1384117984512 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 117 + 9 + 8 + 4 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251987936256 + 1132130048256 = 501984^2 + 1064016^2 .

It is a super-2 number, since 2×1384117984512² (a number of 25 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 not an unprimeable number, because it can be changed into a prime (1384117984511) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 283106164 + ... + 283111052.

It is an arithmetic number, because the mean of its divisors is an integer number (8648728655).

Almost surely, 2^{1384117984512} is an apocalyptic number.

1384117984512 is a gapful number since it is divisible by the number (12) 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 1384117984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179479621060).

1384117984512 is an abundant number, since it is smaller than the sum of its proper divisors (2974841257608).

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

1384117984512 is an frugal number, since it uses more digits than its factorization.

1384117984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4972 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 1384117984512 in words is "one trillion, three hundred eighty-four billion, one hundred seventeen million, nine hundred eighty-four thousand, five hundred twelve".