4225184964 has 768 divisors, whose sum is σ = 16527974400. Its totient is φ = 903260160.

The previous prime is 4225184927. The next prime is 4225185011. The reversal of 4225184964 is 4694815224.

It is a happy number.

4225184964 is a `hidden beast` number, since 42 + 2 + 518 + 4 + 96 + 4 = 666.

Its product of digits (552960) is a multiple of the sum of its prime divisors (72).

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 255 ways as a sum of consecutive naturals, for example, 222378147 + ... + 222378165.

It is an arithmetic number, because the mean of its divisors is an integer number (21520800).

Almost surely, 2^4225184964 is an apocalyptic number.

4225184964 is a gapful number since it is divisible by the number (44) 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 4225184964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263987200).

4225184964 is an abundant number, since it is smaller than the sum of its proper divisors (12302789436).

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

4225184964 is a wasteful number, since it uses less digits than its factorization.

4225184964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4225184964 is about 65001.4227844283. The cubic root of 4225184964 is about 1616.6471533314.

The spelling of 4225184964 in words is "four billion, two hundred twenty-five million, one hundred eighty-four thousand, nine hundred sixty-four".