1344993364512 has 1440 divisors, whose sum is σ = 5179338920448. Its totient is φ = 334048002048.

The previous prime is 1344993364483. The next prime is 1344993364549. The reversal of 1344993364512 is 2154633994431.

1344993364512 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 93 + 36 + 4 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5233437088 + ... + 5233437344.

Almost surely, 2^{1344993364512} is an apocalyptic number.

1344993364512 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 1344993364512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589669460224).

1344993364512 is an abundant number, since it is smaller than the sum of its proper divisors (3834345555936).

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

1344993364512 is a wasteful number, since it uses less digits than its factorization.

1344993364512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 352 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 1344993364512 in words is "one trillion, three hundred forty-four billion, nine hundred ninety-three million, three hundred sixty-four thousand, five hundred twelve".