1345723222144 has 64 divisors (see below), whose sum is σ = 3082720818240. Its totient is φ = 573200188416.

The previous prime is 1345723222121. The next prime is 1345723222157. The reversal of 1345723222144 is 4412223275431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1345723222097 and 1345723222106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4461079 + ... + 4753174.

It is an arithmetic number, because the mean of its divisors is an integer number (48167512785).

Almost surely, 2^{1345723222144} is an apocalyptic number.

1345723222144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1345723222144 is an abundant number, since it is smaller than the sum of its proper divisors (1736997596096).

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

1345723222144 is an equidigital number, since it uses as much as digits as its factorization.

1345723222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214437 (or 9214425 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

Adding to 1345723222144 its reverse (4412223275431), we get a palindrome (5757946497575).

The spelling of 1345723222144 in words is "one trillion, three hundred forty-five billion, seven hundred twenty-three million, two hundred twenty-two thousand, one hundred forty-four".