1444014632346 has 128 divisors (see below), whose sum is σ = 3434344849152. Its totient is φ = 402341068800.

The previous prime is 1444014632341. The next prime is 1444014632369. The reversal of 1444014632346 is 6432364104441.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1444014632298 and 1444014632307.

It is not an unprimeable number, because it can be changed into a prime (1444014632341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26654166 + ... + 26708286.

It is an arithmetic number, because the mean of its divisors is an integer number (26830819134).

Almost surely, 2^{1444014632346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444014632346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717172424576).

1444014632346 is an abundant number, since it is smaller than the sum of its proper divisors (1990330216806).

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

1444014632346 is a wasteful number, since it uses less digits than its factorization.

1444014632346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54429 (or 54407 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 1444014632346 its reverse (6432364104441), we get a palindrome (7876378736787).

The spelling of 1444014632346 in words is "one trillion, four hundred forty-four billion, fourteen million, six hundred thirty-two thousand, three hundred forty-six".