11006454361356 has 96 divisors (see below), whose sum is σ = 29777944250880. Its totient is φ = 3509065150272.

The previous prime is 11006454361337. The next prime is 11006454361367. The reversal of 11006454361356 is 65316345460011.

11006454361356 is a `hidden beast` number, since 1 + 10 + 0 + 6 + 4 + 543 + 61 + 35 + 6 = 666.

It is a super-2 number, since 2×11006454361356² (a number of 27 digits) contains 22 as substring.

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, 38276790 + ... + 38563266.

It is an arithmetic number, because the mean of its divisors is an integer number (310186919280).

Almost surely, 2^{11006454361356} is an apocalyptic number.

It is an amenable number.

11006454361356 is an abundant number, since it is smaller than the sum of its proper divisors (18771489889524).

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

11006454361356 is a wasteful number, since it uses less digits than its factorization.

11006454361356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301980 (or 301972 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 11006454361356 in words is "eleven trillion, six billion, four hundred fifty-four million, three hundred sixty-one thousand, three hundred fifty-six".