16441211556 has 288 divisors, whose sum is σ = 54739077120. Its totient is φ = 4031078400.

The previous prime is 16441211543. The next prime is 16441211557. The reversal of 16441211556 is 65511214461.

16441211556 is a `hidden beast` number, since 1 + 64 + 41 + 2 + 1 + 1 + 556 = 666.

It is a super-3 number, since 3×16441211556³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16441211556.

It is not an unprimeable number, because it can be changed into a prime (16441211557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25648996 + ... + 25649636.

It is an arithmetic number, because the mean of its divisors is an integer number (190066240).

Almost surely, 2^16441211556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16441211556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27369538560).

16441211556 is an abundant number, since it is smaller than the sum of its proper divisors (38297865564).

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

16441211556 is a wasteful number, since it uses less digits than its factorization.

16441211556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1170 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 16441211556 in words is "sixteen billion, four hundred forty-one million, two hundred eleven thousand, five hundred fifty-six".