1434168864 has 144 divisors (see below), whose sum is σ = 4275415872. Its totient is φ = 455161344.

The previous prime is 1434168863. The next prime is 1434168893. The reversal of 1434168864 is 4688614341.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434168863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099467 + ... + 2100149.

It is an arithmetic number, because the mean of its divisors is an integer number (29690388).

Almost surely, 2^1434168864 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 1434168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137707936).

1434168864 is an abundant number, since it is smaller than the sum of its proper divisors (2841247008).

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

1434168864 is a wasteful number, since it uses less digits than its factorization.

1434168864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1434168864 is about 37870.4220203578. The cubic root of 1434168864 is about 1127.7169200620.

The spelling of 1434168864 in words is "one billion, four hundred thirty-four million, one hundred sixty-eight thousand, eight hundred sixty-four".