221047916544 has 672 divisors, whose sum is σ = 816105850560. Its totient is φ = 58262519808.

The previous prime is 221047916539. The next prime is 221047916569. The reversal of 221047916544 is 445619740122.

221047916544 is a `hidden beast` number, since 2 + 2 + 10 + 4 + 7 + 91 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 221047916544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 135861459 + ... + 135863085.

It is an arithmetic number, because the mean of its divisors is an integer number (1214443230).

Almost surely, 2^221047916544 is an apocalyptic number.

221047916544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221047916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408052925280).

221047916544 is an abundant number, since it is smaller than the sum of its proper divisors (595057934016).

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

221047916544 is an equidigital number, since it uses as much as digits as its factorization.

221047916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 221047916544 in words is "two hundred twenty-one billion, forty-seven million, nine hundred sixteen thousand, five hundred forty-four".