1384067661312 has 320 divisors, whose sum is σ = 4292671680000. Its totient is φ = 388093870080.

The previous prime is 1384067661299. The next prime is 1384067661323. The reversal of 1384067661312 is 2131667604831.

It is a happy number.

It is a super-2 number, since 2×1384067661312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327278014 + ... + 327282242.

It is an arithmetic number, because the mean of its divisors is an integer number (13414599000).

Almost surely, 2^{1384067661312} is an apocalyptic number.

1384067661312 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 1384067661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146335840000).

1384067661312 is an abundant number, since it is smaller than the sum of its proper divisors (2908604018688).

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

1384067661312 is an equidigital number, since it uses as much as digits as its factorization.

1384067661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1384067661312 in words is "one trillion, three hundred eighty-four billion, sixty-seven million, six hundred sixty-one thousand, three hundred twelve".