221836402008 has 432 divisors, whose sum is σ = 685458605520. Its totient is φ = 64763712000.

The previous prime is 221836402001. The next prime is 221836402013. The reversal of 221836402008 is 800204638122.

221836402008 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 3 + 640 + 2 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×221836402008² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221836402001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 713300173 + ... + 713300483.

It is an arithmetic number, because the mean of its divisors is an integer number (1586709735).

Almost surely, 2^221836402008 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 221836402008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342729302760).

221836402008 is an abundant number, since it is smaller than the sum of its proper divisors (463622203512).

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

221836402008 is a wasteful number, since it uses less digits than its factorization.

221836402008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 221836402008 in words is "two hundred twenty-one billion, eight hundred thirty-six million, four hundred two thousand, eight".