1344165158160 has 360 divisors, whose sum is σ = 5222995290240. Its totient is φ = 308707407360.

The previous prime is 1344165158159. The next prime is 1344165158207. The reversal of 1344165158160 is 618515614431.

1344165158160 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 6 + 5 + 1 + 581 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1344165158160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1249257 + ... + 2061303.

Almost surely, 2^{1344165158160} is an apocalyptic number.

1344165158160 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 1344165158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611497645120).

1344165158160 is an abundant number, since it is smaller than the sum of its proper divisors (3878830132080).

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

1344165158160 is a wasteful number, since it uses less digits than its factorization.

1344165158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812107 (or 812087 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1344165158160 in words is "one trillion, three hundred forty-four billion, one hundred sixty-five million, one hundred fifty-eight thousand, one hundred sixty".