221959760144130 has 128 divisors (see below), whose sum is σ = 593704831991040. Its totient is φ = 59008132085760.

The previous prime is 221959760144063. The next prime is 221959760144141. The reversal of 221959760144130 is 31441067959122.

221959760144130 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 597 + 6 + 0 + 1 + 4 + 41 + 3 + 0 = 666.

It is a super-2 number, since 2×221959760144130² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421102129 + ... + 421628891.

It is an arithmetic number, because the mean of its divisors is an integer number (4638318999930).

Almost surely, 2^{221959760144130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221959760144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296852415995520).

221959760144130 is an abundant number, since it is smaller than the sum of its proper divisors (371745071846910).

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

221959760144130 is a wasteful number, since it uses less digits than its factorization.

221959760144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531553 (or 531547 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 221959760144130 in words is "two hundred twenty-one trillion, nine hundred fifty-nine billion, seven hundred sixty million, one hundred forty-four thousand, one hundred thirty".