221938943636880 has 3840 divisors, whose sum is σ = 940058232422400. Its totient is φ = 48212414300160.

The previous prime is 221938943636803. The next prime is 221938943636881. The reversal of 221938943636880 is 88636349839122.

It is a happy number.

221938943636880 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 3 + 89 + 436 + 36 + 8 + 80 = 666.

It is a super-2 number, since 2×221938943636880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 221938943636799 and 221938943636808.

It is not an unprimeable number, because it can be changed into a prime (221938943636881) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 398454117562 + ... + 398454118118.

It is an arithmetic number, because the mean of its divisors is an integer number (244806831360).

Almost surely, 2^{221938943636880} is an apocalyptic number.

221938943636880 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 221938943636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470029116211200).

221938943636880 is an abundant number, since it is smaller than the sum of its proper divisors (718119288785520).

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

221938943636880 is a wasteful number, since it uses less digits than its factorization.

221938943636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 221938943636880 in words is "two hundred twenty-one trillion, nine hundred thirty-eight billion, nine hundred forty-three million, six hundred thirty-six thousand, eight hundred eighty".