220723891052544 has 2688 divisors, whose sum is σ = 795211632230400. Its totient is φ = 60249459916800.

The previous prime is 220723891052543. The next prime is 220723891052591. The reversal of 220723891052544 is 445250198327022.

It is a happy number.

220723891052544 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 2 + 3 + 8 + 91 + 0 + 5 + 2 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (220723891052543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820534910842 + ... + 820534911110.

It is an arithmetic number, because the mean of its divisors is an integer number (295837660800).

Almost surely, 2^{220723891052544} is an apocalyptic number.

220723891052544 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 220723891052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397605816115200).

220723891052544 is an abundant number, since it is smaller than the sum of its proper divisors (574487741177856).

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

220723891052544 is a wasteful number, since it uses less digits than its factorization.

220723891052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 220723891052544 in words is "two hundred twenty trillion, seven hundred twenty-three billion, eight hundred ninety-one million, fifty-two thousand, five hundred forty-four".