1355356134144 has 432 divisors, whose sum is σ = 4254155942400. Its totient is φ = 413616513024.

The previous prime is 1355356134071. The next prime is 1355356134161. The reversal of 1355356134144 is 4414316535531.

1355356134144 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 561 + 3 + 41 + 44 = 666.

It is a super-2 number, since 2×1355356134144² (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 1355356134144.

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 47 ways as a sum of consecutive naturals, for example, 155444217 + ... + 155452935.

It is an arithmetic number, because the mean of its divisors is an integer number (9847583200).

Almost surely, 2^{1355356134144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355356134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127077971200).

1355356134144 is an abundant number, since it is smaller than the sum of its proper divisors (2898799808256).

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

1355356134144 is a wasteful number, since it uses less digits than its factorization.

1355356134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8863 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 1355356134144 in words is "one trillion, three hundred fifty-five billion, three hundred fifty-six million, one hundred thirty-four thousand, one hundred forty-four".