16541622272 has 210 divisors, whose sum is σ = 39969129993. Its totient is φ = 6844809216.

The previous prime is 16541622269. The next prime is 16541622277. The reversal of 16541622272 is 27222614561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 16531787776 + 9834496 = 128576^2 + 3136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=90944.

It is a Duffinian number.

Its product of digits (80640) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (16541622277) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 570400754 + ... + 570400782.

Almost surely, 2^16541622272 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 16541622272

16541622272 is an abundant number, since it is smaller than the sum of its proper divisors (23427507721).

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

16541622272 is an frugal number, since it uses more digits than its factorization.

16541622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 38 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The spelling of 16541622272 in words is "sixteen billion, five hundred forty-one million, six hundred twenty-two thousand, two hundred seventy-two".