216745561576544 has 288 divisors, whose sum is σ = 578209419728640. Its totient is φ = 77824443755520.

The previous prime is 216745561576429. The next prime is 216745561576549. The reversal of 216745561576544 is 445675165547612.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216745561576549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217609007 + ... + 218602769.

It is an arithmetic number, because the mean of its divisors is an integer number (2007671596280).

Almost surely, 2^{216745561576544} 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 216745561576544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289104709864320).

216745561576544 is an abundant number, since it is smaller than the sum of its proper divisors (361463858152096).

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

216745561576544 is a wasteful number, since it uses less digits than its factorization.

216745561576544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994434 (or 994415 counting only the distinct ones).

The product of its digits is 846720000, while the sum is 68.

The spelling of 216745561576544 in words is "two hundred sixteen trillion, seven hundred forty-five billion, five hundred sixty-one million, five hundred seventy-six thousand, five hundred forty-four".