424697961168 has 240 divisors, whose sum is σ = 1359964831680. Its totient is φ = 122640500736.

The previous prime is 424697961157. The next prime is 424697961173. The reversal of 424697961168 is 861169796424.

424697961168 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 9 + 7 + 9 + 611 + 6 + 8 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3749980 + ... + 3861572.

It is an arithmetic number, because the mean of its divisors is an integer number (5666520132).

Almost surely, 2^424697961168 is an apocalyptic number.

424697961168 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 424697961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679982415840).

424697961168 is an abundant number, since it is smaller than the sum of its proper divisors (935266870512).

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

424697961168 is a wasteful number, since it uses less digits than its factorization.

424697961168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111746 (or 111737 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 424697961168 in words is "four hundred twenty-four billion, six hundred ninety-seven million, nine hundred sixty-one thousand, one hundred sixty-eight".