11006464634556 has 96 divisors (see below), whose sum is σ = 26664913766400. Its totient is φ = 3529763308800.

The previous prime is 11006464634531. The next prime is 11006464634579. The reversal of 11006464634556 is 65543646460011.

It is a super-2 number, since 2×11006464634556² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006464634499 and 11006464634508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233416470 + ... + 233463618.

It is an arithmetic number, because the mean of its divisors is an integer number (277759518400).

Almost surely, 2^{11006464634556} is an apocalyptic number.

It is an amenable number.

11006464634556 is an abundant number, since it is smaller than the sum of its proper divisors (15658449131844).

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

11006464634556 is a wasteful number, since it uses less digits than its factorization.

11006464634556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50835 (or 50833 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 11006464634556 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred thirty-four thousand, five hundred fifty-six".