1344302459136 has 1800 divisors, whose sum is σ = 5276018454784. Its totient is φ = 337983528960.

The previous prime is 1344302459053. The next prime is 1344302459173. The reversal of 1344302459136 is 6319542034431.

1344302459136 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 0 + 24 + 591 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1344302459091 and 1344302459100.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 20064215775 + ... + 20064215841.

Almost surely, 2^{1344302459136} is an apocalyptic number.

1344302459136 is a gapful number since it is divisible by the number (16) 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 1344302459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638009227392).

1344302459136 is an abundant number, since it is smaller than the sum of its proper divisors (3931715995648).

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

1344302459136 is an frugal number, since it uses more digits than its factorization.

1344302459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1344302459136 in words is "one trillion, three hundred forty-four billion, three hundred two million, four hundred fifty-nine thousand, one hundred thirty-six".