10343214324144 has 240 divisors, whose sum is σ = 31805028597888. Its totient is φ = 3118198007808.

The previous prime is 10343214324127. The next prime is 10343214324193. The reversal of 10343214324144 is 44142341234301.

10343214324144 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 321 + 4 + 324 + 1 + 4 + 4 = 666.

10343214324144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10343214324099 and 10343214324108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72654217 + ... + 72796439.

Almost surely, 2^{10343214324144} 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 10343214324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902514298944).

10343214324144 is an abundant number, since it is smaller than the sum of its proper divisors (21461814273744).

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

10343214324144 is a wasteful number, since it uses less digits than its factorization.

10343214324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143036 (or 143027 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10343214324144 its reverse (44142341234301), we get a palindrome (54485555558445).

The spelling of 10343214324144 in words is "ten trillion, three hundred forty-three billion, two hundred fourteen million, three hundred twenty-four thousand, one hundred forty-four".