220953252618 has 144 divisors (see below), whose sum is σ = 598601689920. Its totient is φ = 57498819840.

The previous prime is 220953252613. The next prime is 220953252629. The reversal of 220953252618 is 816252359022.

220953252618 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 5 + 3 + 25 + 2 + 618 = 666.

220953252618 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220953252613) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2004793 + ... + 2112131.

It is an arithmetic number, because the mean of its divisors is an integer number (4156956180).

Almost surely, 2^220953252618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220953252618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299300844960).

220953252618 is an abundant number, since it is smaller than the sum of its proper divisors (377648437302).

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

220953252618 is a wasteful number, since it uses less digits than its factorization.

220953252618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107433 (or 107399 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 220953252618 in words is "two hundred twenty billion, nine hundred fifty-three million, two hundred fifty-two thousand, six hundred eighteen".