1344646412144 has 80 divisors (see below), whose sum is σ = 3014417303040. Its totient is φ = 569152500480.

The previous prime is 1344646412129. The next prime is 1344646412147. The reversal of 1344646412144 is 4412146464431.

It is a junction number, because it is equal to n+sod(n) for n = 1344646412095 and 1344646412104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344646412147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3619607 + ... + 3973769.

It is an arithmetic number, because the mean of its divisors is an integer number (37680216288).

Almost surely, 2^{1344646412144} is an apocalyptic number.

1344646412144 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 1344646412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507208651520).

1344646412144 is an abundant number, since it is smaller than the sum of its proper divisors (1669770890896).

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

1344646412144 is a wasteful number, since it uses less digits than its factorization.

1344646412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354598 (or 354592 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 1344646412144 in words is "one trillion, three hundred forty-four billion, six hundred forty-six million, four hundred twelve thousand, one hundred forty-four".