502224311106 has 192 divisors, whose sum is σ = 1281654316800. Its totient is φ = 139154416128.

The previous prime is 502224311093. The next prime is 502224311107. The reversal of 502224311106 is 601113422205.

502224311106 is a `hidden beast` number, since 5 + 0 + 222 + 431 + 1 + 1 + 0 + 6 = 666.

It is a super-4 number, since 4×502224311106⁴ (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 502224311106.

It is not an unprimeable number, because it can be changed into a prime (502224311107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741837640 + ... + 741838316.

It is an arithmetic number, because the mean of its divisors is an integer number (6675282900).

Almost surely, 2^502224311106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502224311106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640827158400).

502224311106 is an abundant number, since it is smaller than the sum of its proper divisors (779430005694).

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

502224311106 is a wasteful number, since it uses less digits than its factorization.

502224311106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 502224311106 in words is "five hundred two billion, two hundred twenty-four million, three hundred eleven thousand, one hundred six".