434224327848 has 128 divisors (see below), whose sum is σ = 1157474448000. Its totient is φ = 135355207680.

The previous prime is 434224327847. The next prime is 434224327853. The reversal of 434224327848 is 848723422434.

It is a Cunningham number, because it is equal to 658957²-1.

It is a super-2 number, since 2×434224327848² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434224327848.

It is not an unprimeable number, because it can be changed into a prime (434224327847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25031658 + ... + 25048998.

It is an arithmetic number, because the mean of its divisors is an integer number (9042769125).

Almost surely, 2^434224327848 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 434224327848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578737224000).

434224327848 is an abundant number, since it is smaller than the sum of its proper divisors (723250120152).

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

434224327848 is a wasteful number, since it uses less digits than its factorization.

434224327848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18075 (or 18071 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 51.

The spelling of 434224327848 in words is "four hundred thirty-four billion, two hundred twenty-four million, three hundred twenty-seven thousand, eight hundred forty-eight".