1146135130561 has 12 divisors (see below), whose sum is σ = 1167829123500. Its totient is φ = 1124833597440.

The previous prime is 1146135130559. The next prime is 1146135130573. The reversal of 1146135130561 is 1650315316411.

It can be written as a sum of positive squares in 6 ways, for example, as 422519500225 + 723615630336 = 650015^2 + 850656^2 .

It is not a de Polignac number, because 1146135130561 - 2¹ = 1146135130559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1146135130561.

It is not an unprimeable number, because it can be changed into a prime (1146135137561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327725 + ... + 2013733.

It is an arithmetic number, because the mean of its divisors is an integer number (97319093625).

Almost surely, 2^{1146135130561} is an apocalyptic number.

It is an amenable number.

1146135130561 is a deficient number, since it is larger than the sum of its proper divisors (21693992939).

1146135130561 is an frugal number, since it uses more digits than its factorization.

1146135130561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686580 (or 686519 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 1146135130561 in words is "one trillion, one hundred forty-six billion, one hundred thirty-five million, one hundred thirty thousand, five hundred sixty-one".