220102467408 has 120 divisors (see below), whose sum is σ = 646858562688. Its totient is φ = 69730442496.

The previous prime is 220102467397. The next prime is 220102467421. The reversal of 220102467408 is 804764201022.

220102467408 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 246 + 7 + 408 = 666.

220102467408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 308341 + ... + 731627.

Almost surely, 2^220102467408 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 220102467408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323429281344).

220102467408 is an abundant number, since it is smaller than the sum of its proper divisors (426756095280).

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

220102467408 is a wasteful number, since it uses less digits than its factorization.

220102467408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423481 (or 423472 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 220102467408 in words is "two hundred twenty billion, one hundred two million, four hundred sixty-seven thousand, four hundred eight".