1355195286144 has 288 divisors, whose sum is σ = 4692837251700. Its totient is φ = 373846523904.

The previous prime is 1355195286119. The next prime is 1355195286161. The reversal of 1355195286144 is 4416825915531.

1355195286144 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 19 + 5 + 2 + 8 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1214210055744 + 140985230400 = 1101912^2 + 375480^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1223064 + ... + 2050920.

Almost surely, 2^{1355195286144} is an apocalyptic number.

1355195286144 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 1355195286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346418625850).

1355195286144 is an abundant number, since it is smaller than the sum of its proper divisors (3337641965556).

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

1355195286144 is a wasteful number, since it uses less digits than its factorization.

1355195286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827920 (or 827898 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 1355195286144 in words is "one trillion, three hundred fifty-five billion, one hundred ninety-five million, two hundred eighty-six thousand, one hundred forty-four".