220753720554848 has 192 divisors, whose sum is σ = 485895428948160. Its totient is φ = 98024596733952.

The previous prime is 220753720554847. The next prime is 220753720554881. The reversal of 220753720554848 is 848455027357022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220753720554847) 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, 18284904140 + ... + 18284916212.

It is an arithmetic number, because the mean of its divisors is an integer number (2530705359105).

Almost surely, 2^{220753720554848} 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 220753720554848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242947714474080).

220753720554848 is an abundant number, since it is smaller than the sum of its proper divisors (265141708393312).

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

220753720554848 is a wasteful number, since it uses less digits than its factorization.

220753720554848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 62.

The spelling of 220753720554848 in words is "two hundred twenty trillion, seven hundred fifty-three billion, seven hundred twenty million, five hundred fifty-four thousand, eight hundred forty-eight".