220350150320544 has 288 divisors, whose sum is σ = 660578372737920. Its totient is φ = 69566660007936.

The previous prime is 220350150320543. The next prime is 220350150320557. The reversal of 220350150320544 is 445023051053022.

220350150320544 is a `hidden beast` number, since 2 + 2 + 0 + 35 + 0 + 1 + 50 + 32 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220350150320499 and 220350150320508.

It is not an unprimeable number, because it can be changed into a prime (220350150320543) 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 47 ways as a sum of consecutive naturals, for example, 2623580119 + ... + 2623664105.

It is an arithmetic number, because the mean of its divisors is an integer number (2293674905340).

Almost surely, 2^{220350150320544} is an apocalyptic number.

220350150320544 is a gapful number since it is divisible by the number (24) 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 220350150320544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330289186368960).

220350150320544 is an abundant number, since it is smaller than the sum of its proper divisors (440228222417376).

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

220350150320544 is a wasteful number, since it uses less digits than its factorization.

220350150320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90012 (or 90001 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 220350150320544 in words is "two hundred twenty trillion, three hundred fifty billion, one hundred fifty million, three hundred twenty thousand, five hundred forty-four".