344220730100653 has 24 divisors (see below), whose sum is σ = 400663938137208. Its totient is φ = 294866633650176.

The previous prime is 344220730100593. The next prime is 344220730100659. The reversal of 344220730100653 is 356001037022443.

It can be written as a sum of positive squares in 4 ways, for example, as 5258092060809 + 338962638039844 = 2293053^2 + 18410938^2 .

It is not a de Polignac number, because 344220730100653 - 2³³ = 344212140166061 is a prime.

It is a super-2 number, since 2×344220730100653² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344220730100659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2820195175 + ... + 2820317227.

It is an arithmetic number, because the mean of its divisors is an integer number (16694330755717).

Almost surely, 2^{344220730100653} is an apocalyptic number.

It is an amenable number.

344220730100653 is a deficient number, since it is larger than the sum of its proper divisors (56443208036555).

344220730100653 is a wasteful number, since it uses less digits than its factorization.

344220730100653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156653 (or 156646 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 344220730100653 in words is "three hundred forty-four trillion, two hundred twenty billion, seven hundred thirty million, one hundred thousand, six hundred fifty-three".