424875045168 has 560 divisors, whose sum is σ = 1452035635200. Its totient is φ = 117875450880.

The previous prime is 424875045151. The next prime is 424875045169. The reversal of 424875045168 is 861540578424.

424875045168 is a `hidden beast` number, since 4 + 2 + 4 + 87 + 50 + 451 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (424875045169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 428733153 + ... + 428734143.

Almost surely, 2^424875045168 is an apocalyptic number.

424875045168 is a gapful number since it is divisible by the number (48) 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 424875045168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726017817600).

424875045168 is an abundant number, since it is smaller than the sum of its proper divisors (1027160590032).

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

424875045168 is an equidigital number, since it uses as much as digits as its factorization.

424875045168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 424875045168 in words is "four hundred twenty-four billion, eight hundred seventy-five million, forty-five thousand, one hundred sixty-eight".