11006654664016 has 40 divisors (see below), whose sum is σ = 23271793018848. Its totient is φ = 5001363024000.

The previous prime is 11006654664011. The next prime is 11006654664053. The reversal of 11006654664016 is 61046645660011.

11006654664016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11006654664016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006654664011) 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, 9854955 + ... + 10914826.

Almost surely, 2^{11006654664016} is an apocalyptic number.

11006654664016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11006654664016 is an abundant number, since it is smaller than the sum of its proper divisors (12265138354832).

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

11006654664016 is a wasteful number, since it uses less digits than its factorization.

11006654664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20772811 (or 20772805 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 11006654664016 in words is "eleven trillion, six billion, six hundred fifty-four million, six hundred sixty-four thousand, sixteen".