220454171600 has 240 divisors, whose sum is σ = 586212521664. Its totient is φ = 79156224000.

The previous prime is 220454171591. The next prime is 220454171653. The reversal of 220454171600 is 6171454022.

220454171600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53885555 + ... + 53889645.

Almost surely, 2^220454171600 is an apocalyptic number.

220454171600 is a gapful number since it is divisible by the number (20) 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 220454171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293106260832).

220454171600 is an abundant number, since it is smaller than the sum of its proper divisors (365758350064).

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

220454171600 is a wasteful number, since it uses less digits than its factorization.

220454171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 220454171600 in words is "two hundred twenty billion, four hundred fifty-four million, one hundred seventy-one thousand, six hundred".