221723801893440 has 3584 divisors, whose sum is σ = 1027938926592000. Its totient is φ = 43654289817600.

The previous prime is 221723801893343. The next prime is 221723801893441. The reversal of 221723801893440 is 44398108327122.

221723801893440 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 23 + 80 + 18 + 93 + 440 = 666.

It is a super-2 number, since 2×221723801893440² (a number of 29 digits) contains 22 as substring.

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 (221723801893441) 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 511 ways as a sum of consecutive naturals, for example, 207412349226 + ... + 207412350294.

Almost surely, 2^{221723801893440} is an apocalyptic number.

221723801893440 is a gapful number since it is divisible by the number (20) 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 221723801893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513969463296000).

221723801893440 is an abundant number, since it is smaller than the sum of its proper divisors (806215124698560).

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

221723801893440 is a wasteful number, since it uses less digits than its factorization.

221723801893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 221723801893440 in words is "two hundred twenty-one trillion, seven hundred twenty-three billion, eight hundred one million, eight hundred ninety-three thousand, four hundred forty".