345401123729 has 2 divisors, whose sum is σ = 345401123730. Its totient is φ = 345401123728.

The previous prime is 345401123707. The next prime is 345401123783. The reversal of 345401123729 is 927321104543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178996686400 + 166404437329 = 423080^2 + 407927^2 .

It is a cyclic number.

It is not a de Polignac number, because 345401123729 - 2¹² = 345401119633 is a prime.

It is not a weakly prime, because it can be changed into another prime (345401123789) by changing a digit.

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 as a sum of consecutive naturals, namely, 172700561864 + 172700561865.

It is an arithmetic number, because the mean of its divisors is an integer number (172700561865).

Almost surely, 2^345401123729 is an apocalyptic number.

It is an amenable number.

345401123729 is a deficient number, since it is larger than the sum of its proper divisors (1).

345401123729 is an equidigital number, since it uses as much as digits as its factorization.

345401123729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 345401123729 in words is "three hundred forty-five billion, four hundred one million, one hundred twenty-three thousand, seven hundred twenty-nine".