220485638016 has 768 divisors, whose sum is σ = 801862963200. Its totient is φ = 56733696000.

The previous prime is 220485637979. The next prime is 220485638027. The reversal of 220485638016 is 610836584022.

220485638016 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 8 + 5 + 638 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×220485638016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289731076 + ... + 289731836.

It is an arithmetic number, because the mean of its divisors is an integer number (1044092400).

Almost surely, 2^220485638016 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 220485638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400931481600).

220485638016 is an abundant number, since it is smaller than the sum of its proper divisors (581377325184).

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

220485638016 is a wasteful number, since it uses less digits than its factorization.

220485638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 220485638016 in words is "two hundred twenty billion, four hundred eighty-five million, six hundred thirty-eight thousand, sixteen".