349853777556503 has 8 divisors (see below), whose sum is σ = 381659184915456. Its totient is φ = 318048456612600.

The previous prime is 349853777556461. The next prime is 349853777556581. The reversal of 349853777556503 is 305655777358943.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349853777556503 - 2⁸ = 349853777556247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349853777586503) 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 7 ways as a sum of consecutive naturals, for example, 12989303 + ... + 29469128.

It is an arithmetic number, because the mean of its divisors is an integer number (47707398114432).

Almost surely, 2^{349853777556503} is an apocalyptic number.

349853777556503 is a deficient number, since it is larger than the sum of its proper divisors (31805407358953).

349853777556503 is a wasteful number, since it uses less digits than its factorization.

349853777556503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43207525.

The product of its (nonzero) digits is 10001880000, while the sum is 77.

The spelling of 349853777556503 in words is "three hundred forty-nine trillion, eight hundred fifty-three billion, seven hundred seventy-seven million, five hundred fifty-six thousand, five hundred three".