220755444162344 has 128 divisors (see below), whose sum is σ = 511621062220800. Its totient is φ = 86957923368960.

The previous prime is 220755444162307. The next prime is 220755444162361. The reversal of 220755444162344 is 443261444557022.

It is a super-2 number, since 2×220755444162344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170615312 + ... + 171904320.

It is an arithmetic number, because the mean of its divisors is an integer number (3997039548600).

Almost surely, 2^{220755444162344} 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 220755444162344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255810531110400).

220755444162344 is an abundant number, since it is smaller than the sum of its proper divisors (290865618058456).

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

220755444162344 is a wasteful number, since it uses less digits than its factorization.

220755444162344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290043 (or 1290039 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 53.

The spelling of 220755444162344 in words is "two hundred twenty trillion, seven hundred fifty-five billion, four hundred forty-four million, one hundred sixty-two thousand, three hundred forty-four".