344484314327811 has 48 divisors (see below), whose sum is σ = 552811519131648. Its totient is φ = 190058287507200.

The previous prime is 344484314327789. The next prime is 344484314327827. The reversal of 344484314327811 is 118723413484443.

It is a happy number.

It is not a de Polignac number, because 344484314327811 - 2⁷ = 344484314327683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344484314327831) 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 47 ways as a sum of consecutive naturals, for example, 85318435 + ... + 89264796.

It is an arithmetic number, because the mean of its divisors is an integer number (11516906648576).

Almost surely, 2^{344484314327811} is an apocalyptic number.

344484314327811 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

344484314327811 is a deficient number, since it is larger than the sum of its proper divisors (208327204803837).

344484314327811 is a wasteful number, since it uses less digits than its factorization.

344484314327811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174583712 (or 174583705 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 57.

The spelling of 344484314327811 in words is "three hundred forty-four trillion, four hundred eighty-four billion, three hundred fourteen million, three hundred twenty-seven thousand, eight hundred eleven".