221623091214336 has 1728 divisors, whose sum is σ = 810751503744000. Its totient is φ = 60227536158720.

The previous prime is 221623091214253. The next prime is 221623091214337. The reversal of 221623091214336 is 633412190326122.

221623091214336 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 309 + 1 + 2 + 1 + 4 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×221623091214336² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221623091214291 and 221623091214300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221623091214337) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44601142860 + ... + 44601147828.

It is an arithmetic number, because the mean of its divisors is an integer number (469184898000).

Almost surely, 2^{221623091214336} 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 221623091214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405375751872000).

221623091214336 is an abundant number, since it is smaller than the sum of its proper divisors (589128412529664).

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

221623091214336 is an equidigital number, since it uses as much as digits as its factorization.

221623091214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 221623091214336 in words is "two hundred twenty-one trillion, six hundred twenty-three billion, ninety-one million, two hundred fourteen thousand, three hundred thirty-six".