221669638848 has 672 divisors, whose sum is σ = 776772412416. Its totient is φ = 61370929152.

The previous prime is 221669638831. The next prime is 221669638889. The reversal of 221669638848 is 848836966122.

221669638848 is a `hidden beast` number, since 2 + 2 + 166 + 96 + 388 + 4 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 594288390 + ... + 594288762.

It is an arithmetic number, because the mean of its divisors is an integer number (1155911328).

Almost surely, 2^221669638848 is an apocalyptic number.

221669638848 is a gapful number since it is divisible by the number (28) 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 221669638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388386206208).

221669638848 is an abundant number, since it is smaller than the sum of its proper divisors (555102773568).

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

221669638848 is a wasteful number, since it uses less digits than its factorization.

221669638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 221669638848 in words is "two hundred twenty-one billion, six hundred sixty-nine million, six hundred thirty-eight thousand, eight hundred forty-eight".