1434866218368 has 384 divisors, whose sum is σ = 4314341491200. Its totient is φ = 418729328640.

The previous prime is 1434866218361. The next prime is 1434866218381. The reversal of 1434866218368 is 8638126684341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1434866218368² (a number of 25 digits) contains 22 as substring.

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 (1434866218361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995641113 + ... + 1995641831.

It is an arithmetic number, because the mean of its divisors is an integer number (11235264300).

Almost surely, 2^{1434866218368} 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 1434866218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157170745600).

1434866218368 is an abundant number, since it is smaller than the sum of its proper divisors (2879475272832).

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

1434866218368 is a wasteful number, since it uses less digits than its factorization.

1434866218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 885 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 1434866218368 in words is "one trillion, four hundred thirty-four billion, eight hundred sixty-six million, two hundred eighteen thousand, three hundred sixty-eight".