220945119760 has 40 divisors (see below), whose sum is σ = 526226616216. Its totient is φ = 86222484480.

The previous prime is 220945119749. The next prime is 220945119761. The reversal of 220945119760 is 67911549022.

220945119760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22756325904 + 198188793856 = 150852^2 + 445184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 220945119760.

It is not an unprimeable number, because it can be changed into a prime (220945119761) 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 7 ways as a sum of consecutive naturals, for example, 33677379 + ... + 33683938.

Almost surely, 2^220945119760 is an apocalyptic number.

220945119760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220945119760 is an abundant number, since it is smaller than the sum of its proper divisors (305281496456).

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

220945119760 is a wasteful number, since it uses less digits than its factorization.

220945119760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67361371 (or 67361365 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 220945119760 in words is "two hundred twenty billion, nine hundred forty-five million, one hundred nineteen thousand, seven hundred sixty".