1345105120224 has 48 divisors (see below), whose sum is σ = 3542181853392. Its totient is φ = 446935876608.

The previous prime is 1345105120147. The next prime is 1345105120273. The reversal of 1345105120224 is 4220215015431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1345105120191 and 1345105120200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22352559 + ... + 22412654.

It is an arithmetic number, because the mean of its divisors is an integer number (73795455279).

Almost surely, 2^{1345105120224} is an apocalyptic number.

It is an amenable number.

1345105120224 is an abundant number, since it is smaller than the sum of its proper divisors (2197076733168).

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

1345105120224 is a wasteful number, since it uses less digits than its factorization.

1345105120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44765539 (or 44765531 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1345105120224 in words is "one trillion, three hundred forty-five billion, one hundred five million, one hundred twenty thousand, two hundred twenty-four".