220949664054 has 128 divisors (see below), whose sum is σ = 560875622400. Its totient is φ = 56578922496.

The previous prime is 220949664049. The next prime is 220949664107. The reversal of 220949664054 is 450466949022.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220949663988 and 220949664006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1152672 + ... + 1330620.

It is an arithmetic number, because the mean of its divisors is an integer number (4381840800).

Almost surely, 2^220949664054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220949664054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280437811200).

220949664054 is an abundant number, since it is smaller than the sum of its proper divisors (339925958346).

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

220949664054 is a wasteful number, since it uses less digits than its factorization.

220949664054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178062.

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 220949664054 in words is "two hundred twenty billion, nine hundred forty-nine million, six hundred sixty-four thousand, fifty-four".