11145630805776 has 60 divisors (see below), whose sum is σ = 31220720827452. Its totient is φ = 3711823515648.

The previous prime is 11145630805741. The next prime is 11145630805843. The reversal of 11145630805776 is 67750803654111.

11145630805776 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 63 + 0 + 8 + 0 + 577 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2665304395776 + 8480326410000 = 1632576^2 + 2912100^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35120161 + ... + 35436096.

Almost surely, 2^{11145630805776} is an apocalyptic number.

11145630805776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11145630805776 is an abundant number, since it is smaller than the sum of its proper divisors (20075090021676).

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

11145630805776 is a wasteful number, since it uses less digits than its factorization.

11145630805776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70557368 (or 70557359 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 11145630805776 in words is "eleven trillion, one hundred forty-five billion, six hundred thirty million, eight hundred five thousand, seven hundred seventy-six".