2123442313344 has 192 divisors, whose sum is σ = 6895780257600. Its totient is φ = 621278730240.

The previous prime is 2123442313339. The next prime is 2123442313351. The reversal of 2123442313344 is 4433132443212.

2123442313344 is a `hidden beast` number, since 2 + 12 + 344 + 231 + 33 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2123442313299 and 2123442313308.

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, 2521644 + ... + 3256619.

It is an arithmetic number, because the mean of its divisors is an integer number (35915522175).

Almost surely, 2^{2123442313344} is an apocalyptic number.

2123442313344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123442313344 is an abundant number, since it is smaller than the sum of its proper divisors (4772337944256).

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

2123442313344 is a wasteful number, since it uses less digits than its factorization.

2123442313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778323 (or 5778308 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 2123442313344 its reverse (4433132443212), we get a palindrome (6556574756556).

The spelling of 2123442313344 in words is "two trillion, one hundred twenty-three billion, four hundred forty-two million, three hundred thirteen thousand, three hundred forty-four".