30220445234144 has 192 divisors, whose sum is σ = 67083757820352. Its totient is φ = 13280362905600.

The previous prime is 30220445234143. The next prime is 30220445234179. The reversal of 30220445234144 is 44143254402203.

It is a junction number, because it is equal to n+sod(n) for n = 30220445234098 and 30220445234107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220445234143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3236628644 + ... + 3236637980.

It is an arithmetic number, because the mean of its divisors is an integer number (349394571981).

Almost surely, 2^{30220445234144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30220445234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33541878910176).

30220445234144 is an abundant number, since it is smaller than the sum of its proper divisors (36863312586208).

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

30220445234144 is a wasteful number, since it uses less digits than its factorization.

30220445234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 30220445234144 its reverse (44143254402203), we get a palindrome (74363699636347).

The spelling of 30220445234144 in words is "thirty trillion, two hundred twenty billion, four hundred forty-five million, two hundred thirty-four thousand, one hundred forty-four".