220338723528 has 1024 divisors, whose sum is σ = 841300992000. Its totient is φ = 51690700800.

The previous prime is 220338723497. The next prime is 220338723541. The reversal of 220338723528 is 825327833022.

220338723528 is a `hidden beast` number, since 2 + 20 + 3 + 3 + 87 + 23 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 962177718 + ... + 962177946.

It is an arithmetic number, because the mean of its divisors is an integer number (821583000).

Almost surely, 2^220338723528 is an apocalyptic number.

220338723528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220338723528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420650496000).

220338723528 is an abundant number, since it is smaller than the sum of its proper divisors (620962268472).

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

220338723528 is a wasteful number, since it uses less digits than its factorization.

220338723528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 220338723528 in words is "two hundred twenty billion, three hundred thirty-eight million, seven hundred twenty-three thousand, five hundred twenty-eight".