11006777745 has 80 divisors (see below), whose sum is σ = 20124720000. Its totient is φ = 5753659392.

The previous prime is 11006777741. The next prime is 11006777833. The reversal of 11006777745 is 54777760011.

It is not a de Polignac number, because 11006777745 - 2² = 11006777741 is a prime.

It is a super-2 number, since 2×11006777745² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11006777745.

It is not an unprimeable number, because it can be changed into a prime (11006777741) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14312721 + ... + 14313489.

It is an arithmetic number, because the mean of its divisors is an integer number (251559000).

Almost surely, 2^11006777745 is an apocalyptic number.

11006777745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006777745 is a deficient number, since it is larger than the sum of its proper divisors (9117942255).

11006777745 is an equidigital number, since it uses as much as digits as its factorization.

11006777745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 11006777745 in words is "eleven billion, six million, seven hundred seventy-seven thousand, seven hundred forty-five".