1344835312128 has 1120 divisors, whose sum is σ = 5099572570752. Its totient is φ = 343985356800.

The previous prime is 1344835312049. The next prime is 1344835312243. The reversal of 1344835312128 is 8212135384431.

1344835312128 is a `hidden beast` number, since 1 + 34 + 4 + 83 + 531 + 2 + 1 + 2 + 8 = 666.

Its product of digits (552960) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2098026688 + ... + 2098027328.

Almost surely, 2^{1344835312128} is an apocalyptic number.

1344835312128 is a gapful number since it is divisible by the number (18) 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 1344835312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549786285376).

1344835312128 is an abundant number, since it is smaller than the sum of its proper divisors (3754737258624).

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

1344835312128 is an frugal number, since it uses more digits than its factorization.

1344835312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 737 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 1344835312128 in words is "one trillion, three hundred forty-four billion, eight hundred thirty-five million, three hundred twelve thousand, one hundred twenty-eight".