2142333412344 has 96 divisors (see below), whose sum is σ = 5866039595520. Its totient is φ = 706270195008.

The previous prime is 2142333412339. The next prime is 2142333412399. The reversal of 2142333412344 is 4432143332412.

2142333412344 is a `hidden beast` number, since 2 + 1 + 4 + 233 + 3 + 412 + 3 + 4 + 4 = 666.

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 = 2142333412299 and 2142333412308.

It is a congruent number.

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, 4447267 + ... + 4905389.

It is an arithmetic number, because the mean of its divisors is an integer number (61104579120).

Almost surely, 2^{2142333412344} is an apocalyptic number.

2142333412344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142333412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933019797760).

2142333412344 is an abundant number, since it is smaller than the sum of its proper divisors (3723706183176).

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

2142333412344 is a wasteful number, since it uses less digits than its factorization.

2142333412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458849 (or 458842 counting only the distinct ones).

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

Adding to 2142333412344 its reverse (4432143332412), we get a palindrome (6574476744756).

The spelling of 2142333412344 in words is "two trillion, one hundred forty-two billion, three hundred thirty-three million, four hundred twelve thousand, three hundred forty-four".