4225343616 has 640 divisors, whose sum is σ = 14928883200. Its totient is φ = 1175150592.

The previous prime is 4225343597. The next prime is 4225343641. The reversal of 4225343616 is 6163435224.

4225343616 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 34 + 3 + 616 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89900905 + ... + 89900951.

It is an arithmetic number, because the mean of its divisors is an integer number (23326380).

Almost surely, 2^4225343616 is an apocalyptic number.

4225343616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225343616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464441600).

4225343616 is an abundant number, since it is smaller than the sum of its proper divisors (10703539584).

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

4225343616 is a wasteful number, since it uses less digits than its factorization.

4225343616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 4225343616 is about 65002.6431462598. The cubic root of 4225343616 is about 1616.6673876404.

The spelling of 4225343616 in words is "four billion, two hundred twenty-five million, three hundred forty-three thousand, six hundred sixteen".