2345126281344 has 768 divisors, whose sum is σ = 8682605568000. Its totient is φ = 589864550400.

The previous prime is 2345126281339. The next prime is 2345126281363. The reversal of 2345126281344 is 4431826215432.

2345126281344 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 1 + 2 + 628 + 13 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2345126281344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505521777 + ... + 505526415.

It is an arithmetic number, because the mean of its divisors is an integer number (11305476000).

Almost surely, 2^{2345126281344} is an apocalyptic number.

2345126281344 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 2345126281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341302784000).

2345126281344 is an abundant number, since it is smaller than the sum of its proper divisors (6337479286656).

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

2345126281344 is a wasteful number, since it uses less digits than its factorization.

2345126281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4842 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 2345126281344 in words is "two trillion, three hundred forty-five billion, one hundred twenty-six million, two hundred eighty-one thousand, three hundred forty-four".