4272546816216 has 384 divisors, whose sum is σ = 14472768960000. Its totient is φ = 1134651877632.

The previous prime is 4272546816169. The next prime is 4272546816227. The reversal of 4272546816216 is 6126186452724.

4272546816216 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 5 + 4 + 6 + 8 + 1 + 621 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24782971 + ... + 24954773.

It is an arithmetic number, because the mean of its divisors is an integer number (37689502500).

Almost surely, 2^{4272546816216} 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 4272546816216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236384480000).

4272546816216 is an abundant number, since it is smaller than the sum of its proper divisors (10200222143784).

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

4272546816216 is a wasteful number, since it uses less digits than its factorization.

4272546816216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171908 (or 171887 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 4272546816216 in words is "four trillion, two hundred seventy-two billion, five hundred forty-six million, eight hundred sixteen thousand, two hundred sixteen".