646514224224 has 384 divisors, whose sum is σ = 1927321288704. Its totient is φ = 188068608000.

The previous prime is 646514224193. The next prime is 646514224261. The reversal of 646514224224 is 422422415646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954968974 + ... + 954969650.

It is an arithmetic number, because the mean of its divisors is an integer number (5019065856).

Almost surely, 2^646514224224 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 646514224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963660644352).

646514224224 is an abundant number, since it is smaller than the sum of its proper divisors (1280807064480).

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

646514224224 is a wasteful number, since it uses less digits than its factorization.

646514224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

It can be divided in two parts, 64651422 and 4224, that added together give a palindrome (64655646).

The spelling of 646514224224 in words is "six hundred forty-six billion, five hundred fourteen million, two hundred twenty-four thousand, two hundred twenty-four".