1335411305145 has 48 divisors (see below), whose sum is σ = 2459237678352. Its totient is φ = 668036198400.

The previous prime is 1335411305113. The next prime is 1335411305159. The reversal of 1335411305145 is 5415031145331.

1335411305145 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 4 + 1 + 130 + 514 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 204863959161 + 1130547345984 = 452619^2 + 1063272^2 .

It is not a de Polignac number, because 1335411305145 - 2⁵ = 1335411305113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2754756 + ... + 3203045.

It is an arithmetic number, because the mean of its divisors is an integer number (51234118299).

Almost surely, 2^{1335411305145} is an apocalyptic number.

1335411305145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1335411305145 is a deficient number, since it is larger than the sum of its proper divisors (1123826373207).

1335411305145 is a wasteful number, since it uses less digits than its factorization.

1335411305145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958122 (or 5958119 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1335411305145 in words is "one trillion, three hundred thirty-five billion, four hundred eleven million, three hundred five thousand, one hundred forty-five".