11006464634544 has 80 divisors (see below), whose sum is σ = 28970757395712. Its totient is φ = 3599485204224.

The previous prime is 11006464634531. The next prime is 11006464634579. The reversal of 11006464634544 is 44543646460011.

It is a super-2 number, since 2×11006464634544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11006464634493 and 11006464634502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128436799 + ... + 128522465.

Almost surely, 2^{11006464634544} is an apocalyptic number.

It is an amenable number.

11006464634544 is an abundant number, since it is smaller than the sum of its proper divisors (17964292761168).

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

11006464634544 is a wasteful number, since it uses less digits than its factorization.

11006464634544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136234 (or 136228 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 11006464634544 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred thirty-four thousand, five hundred forty-four".