11006634344608 has 48 divisors (see below), whose sum is σ = 24786221866560. Its totient is φ = 4713072892416.

The previous prime is 11006634344603. The next prime is 11006634344623. The reversal of 11006634344608 is 80644343660011.

It is a super-2 number, since 2×11006634344608² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006634344603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20864493 + ... + 21385516.

It is an arithmetic number, because the mean of its divisors is an integer number (516379622220).

Almost surely, 2^{11006634344608} is an apocalyptic number.

It is an amenable number.

11006634344608 is an abundant number, since it is smaller than the sum of its proper divisors (13779587521952).

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

11006634344608 is a wasteful number, since it uses less digits than its factorization.

11006634344608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42251189 (or 42251181 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 11006634344608 in words is "eleven trillion, six billion, six hundred thirty-four million, three hundred forty-four thousand, six hundred eight".