1344736106560 has 224 divisors, whose sum is σ = 4023739219968. Its totient is φ = 415837255680.

The previous prime is 1344736106537. The next prime is 1344736106561. The reversal of 1344736106560 is 656016374431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1344736106560² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1344736106560.

It is not an unprimeable number, because it can be changed into a prime (1344736106561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2914417 + ... + 3344143.

Almost surely, 2^{1344736106560} is an apocalyptic number.

1344736106560 is a gapful number since it is divisible by the number (10) 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 1344736106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011869609984).

1344736106560 is an abundant number, since it is smaller than the sum of its proper divisors (2679003113408).

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

1344736106560 is a wasteful number, since it uses less digits than its factorization.

1344736106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429889 (or 429879 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 1344736106560 in words is "one trillion, three hundred forty-four billion, seven hundred thirty-six million, one hundred six thousand, five hundred sixty".