221297647704960 has 512 divisors, whose sum is σ = 724158915379200. Its totient is φ = 57448606924800.

The previous prime is 221297647704929. The next prime is 221297647704967. The reversal of 221297647704960 is 69407746792122.

221297647704960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221297647704891 and 221297647704900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221297647704967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117899651542 + ... + 117899653418.

It is an arithmetic number, because the mean of its divisors is an integer number (1414372881600).

Almost surely, 2^{221297647704960} is an apocalyptic number.

221297647704960 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 221297647704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362079457689600).

221297647704960 is an abundant number, since it is smaller than the sum of its proper divisors (502861267674240).

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

221297647704960 is a wasteful number, since it uses less digits than its factorization.

221297647704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 221297647704960 in words is "two hundred twenty-one trillion, two hundred ninety-seven billion, six hundred forty-seven million, seven hundred four thousand, nine hundred sixty".