11661516016 has 40 divisors (see below), whose sum is σ = 23386947584. Its totient is φ = 5627206080.

The previous prime is 11661516007. The next prime is 11661516029. The reversal of 11661516016 is 61061516611.

11661516016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 150001 + ... + 214063.

Almost surely, 2^11661516016 is an apocalyptic number.

11661516016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11661516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693473792).

11661516016 is an abundant number, since it is smaller than the sum of its proper divisors (11725431568).

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

11661516016 is a wasteful number, since it uses less digits than its factorization.

11661516016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64469 (or 64463 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11661516016 in words is "eleven billion, six hundred sixty-one million, five hundred sixteen thousand, sixteen".