220875162336 has 240 divisors, whose sum is σ = 724001438160. Its totient is φ = 65646858240.

The previous prime is 220875162331. The next prime is 220875162341. The reversal of 220875162336 is 633261578022.

220875162336 is a `hidden beast` number, since 2 + 2 + 0 + 87 + 516 + 23 + 36 = 666.

220875162336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220875162331) and next prime (220875162341).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 220875162291 and 220875162300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220875162331) 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 39 ways as a sum of consecutive naturals, for example, 705306 + ... + 969126.

It is an arithmetic number, because the mean of its divisors is an integer number (3016672659).

Almost surely, 2^220875162336 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 220875162336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362000719080).

220875162336 is an abundant number, since it is smaller than the sum of its proper divisors (503126275824).

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

220875162336 is a wasteful number, since it uses less digits than its factorization.

220875162336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263879 (or 263862 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 220875162336 in words is "two hundred twenty billion, eight hundred seventy-five million, one hundred sixty-two thousand, three hundred thirty-six".