11006634416445 has 32 divisors (see below), whose sum is σ = 19757324371200. Its totient is φ = 5813212732992.

The previous prime is 11006634416411. The next prime is 11006634416497. The reversal of 11006634416445 is 54461443660011.

11006634416445 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 634 + 4 + 1 + 6 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 11006634416445 - 2³⁶ = 10937914939709 is a prime.

It is a super-2 number, since 2×11006634416445² (a number of 27 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 11006634416445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395765830 + ... + 395793639.

It is an arithmetic number, because the mean of its divisors is an integer number (617416386600).

Almost surely, 2^{11006634416445} is an apocalyptic number.

11006634416445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006634416445 is a deficient number, since it is larger than the sum of its proper divisors (8750689954755).

11006634416445 is a wasteful number, since it uses less digits than its factorization.

11006634416445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791559586 (or 791559580 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 11006634416445 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred sixteen thousand, four hundred forty-five".