434464222368 has 144 divisors (see below), whose sum is σ = 1259942856480. Its totient is φ = 130986831360.

The previous prime is 434464222343. The next prime is 434464222447. The reversal of 434464222368 is 863222464434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193423 + ... + 2383281.

It is an arithmetic number, because the mean of its divisors is an integer number (8749603170).

Almost surely, 2^434464222368 is an apocalyptic number.

434464222368 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 434464222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629971428240).

434464222368 is an abundant number, since it is smaller than the sum of its proper divisors (825478634112).

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

434464222368 is a wasteful number, since it uses less digits than its factorization.

434464222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190091 (or 190072 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 434464222368 in words is "four hundred thirty-four billion, four hundred sixty-four million, two hundred twenty-two thousand, three hundred sixty-eight".