4812224023152 has 320 divisors, whose sum is σ = 17165516892160. Its totient is φ = 1256835004416.

The previous prime is 4812224023129. The next prime is 4812224023163. The reversal of 4812224023152 is 2513204222184.

4812224023152 is a `hidden beast` number, since 4 + 81 + 2 + 22 + 402 + 3 + 152 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3454908 + ... + 4643364.

It is an arithmetic number, because the mean of its divisors is an integer number (53642240288).

Almost surely, 2^{4812224023152} is an apocalyptic number.

4812224023152 is a gapful number since it is divisible by the number (42) 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 4812224023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582758446080).

4812224023152 is an abundant number, since it is smaller than the sum of its proper divisors (12353292869008).

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

4812224023152 is a wasteful number, since it uses less digits than its factorization.

4812224023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188597 (or 1188585 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4812224023152 in words is "four trillion, eight hundred twelve billion, two hundred twenty-four million, twenty-three thousand, one hundred fifty-two".