216448916544 has 84 divisors (see below), whose sum is σ = 709041999744. Its totient is φ = 61842546432.

The previous prime is 216448916543. The next prime is 216448916569. The reversal of 216448916544 is 445619844612.

216448916544 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 8 + 91 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (216448916543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26837352 + ... + 26845415.

Almost surely, 2^216448916544 is an apocalyptic number.

216448916544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216448916544 is an abundant number, since it is smaller than the sum of its proper divisors (492593083200).

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

216448916544 is a wasteful number, since it uses less digits than its factorization.

216448916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53682792 (or 53682779 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 216448916544 in words is "two hundred sixteen billion, four hundred forty-eight million, nine hundred sixteen thousand, five hundred forty-four".