1145335660506 has 160 divisors (see below), whose sum is σ = 2633891729040. Its totient is φ = 371855038464.

The previous prime is 1145335660477. The next prime is 1145335660517. The reversal of 1145335660506 is 6050665335411.

It is a happy number.

1145335660506 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 35 + 6 + 605 + 0 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 127438290225 + 1017897370281 = 356985^2 + 1008909^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 801493800 + ... + 801495228.

Almost surely, 2^{1145335660506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145335660506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316945864520).

1145335660506 is an abundant number, since it is smaller than the sum of its proper divisors (1488556068534).

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

1145335660506 is a wasteful number, since it uses less digits than its factorization.

1145335660506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1145335660506 in words is "one trillion, one hundred forty-five billion, three hundred thirty-five million, six hundred sixty thousand, five hundred six".