429802181648 has 80 divisors (see below), whose sum is σ = 995037384960. Its totient is φ = 175845508608.

The previous prime is 429802181621. The next prime is 429802181657. The reversal of 429802181648 is 846181208924.

It is a Cunningham number, because it is equal to 655593²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 429802181648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147286 + ... + 1475082.

It is an arithmetic number, because the mean of its divisors is an integer number (12437967312).

Almost surely, 2^429802181648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429802181648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497518692480).

429802181648 is an abundant number, since it is smaller than the sum of its proper divisors (565235203312).

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

429802181648 is a wasteful number, since it uses less digits than its factorization.

429802181648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328344 (or 328338 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 429802181648 in words is "four hundred twenty-nine billion, eight hundred two million, one hundred eighty-one thousand, six hundred forty-eight".