220142302848 has 1280 divisors, whose sum is σ = 796207104000. Its totient is φ = 59749539840.

The previous prime is 220142302847. The next prime is 220142302873. The reversal of 220142302848 is 848203241022.

220142302848 is a `hidden beast` number, since 2 + 201 + 423 + 0 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×220142302848² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (220142302841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3731225443 + ... + 3731225501.

It is an arithmetic number, because the mean of its divisors is an integer number (622036800).

Almost surely, 2^220142302848 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 220142302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398103552000).

220142302848 is an abundant number, since it is smaller than the sum of its proper divisors (576064801152).

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

220142302848 is a wasteful number, since it uses less digits than its factorization.

220142302848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 220142302848 in words is "two hundred twenty billion, one hundred forty-two million, three hundred two thousand, eight hundred forty-eight".