348963114361 has 9 divisors (see below), whose sum is σ = 349969658031. Its totient is φ = 347959462392.

The previous prime is 348963114359. The next prime is 348963114371. The reversal of 348963114361 is 163411369843.

The square root of 348963114361 is 590731.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14236069225 + 334727045136 = 119315^2 + 578556^2 .

It is not a de Polignac number, because 348963114361 - 2¹ = 348963114359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348963114301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 287685391 + ... + 287686603.

It is an arithmetic number, because the mean of its divisors is an integer number (38885517559).

Almost surely, 2^348963114361 is an apocalyptic number.

348963114361 is the 590731-st square number.

348963114361 is the 295366-th centered octagonal number.

It is an amenable number.

348963114361 is a deficient number, since it is larger than the sum of its proper divisors (1006543670).

348963114361 is an frugal number, since it uses more digits than its factorization.

348963114361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 1700 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

Multiplying 348963114361 by its sum of digits (49), we get a square (17099192603689 = 4135117²).

The spelling of 348963114361 in words is "three hundred forty-eight billion, nine hundred sixty-three million, one hundred fourteen thousand, three hundred sixty-one".