220145279328 has 96 divisors (see below), whose sum is σ = 691482002400. Its totient is φ = 67737005568.

The previous prime is 220145279297. The next prime is 220145279351. The reversal of 220145279328 is 823972541022.

220145279328 is a `hidden beast` number, since 2 + 2 + 0 + 14 + 527 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9788683 + ... + 9811146.

It is an arithmetic number, because the mean of its divisors is an integer number (7202937525).

Almost surely, 2^220145279328 is an apocalyptic number.

It is an amenable number.

220145279328 is an abundant number, since it is smaller than the sum of its proper divisors (471336723072).

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

220145279328 is a wasteful number, since it uses less digits than its factorization.

220145279328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599861 (or 19599847 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 220145279328 in words is "two hundred twenty billion, one hundred forty-five million, two hundred seventy-nine thousand, three hundred twenty-eight".