4168224825912 has 896 divisors, whose sum is σ = 14595904512000. Its totient is φ = 1089331752960.

The previous prime is 4168224825899. The next prime is 4168224825913. The reversal of 4168224825912 is 2195284228614.

It is a happy number.

4168224825912 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 2 + 2 + 48 + 2 + 591 + 2 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168224825913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2590567764 + ... + 2590569372.

It is an arithmetic number, because the mean of its divisors is an integer number (16290072000).

Almost surely, 2^{4168224825912} is an apocalyptic number.

4168224825912 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 4168224825912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297952256000).

4168224825912 is an abundant number, since it is smaller than the sum of its proper divisors (10427679686088).

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

4168224825912 is a wasteful number, since it uses less digits than its factorization.

4168224825912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1764 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 4168224825912 in words is "four trillion, one hundred sixty-eight billion, two hundred twenty-four million, eight hundred twenty-five thousand, nine hundred twelve".