348181424761 has 9 divisors (see below), whose sum is σ = 353495863749. Its totient is φ = 342945742524.

The previous prime is 348181424729. The next prime is 348181424771. The reversal of 348181424761 is 167424181843.

The square root of 348181424761 is 590069.

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

It is not a de Polignac number, because 348181424761 - 2⁵ = 348181424729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348181424771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39530220 + ... + 39539026.

Almost surely, 2^348181424761 is an apocalyptic number.

348181424761 is the 590069-th square number.

348181424761 is the 295035-th centered octagonal number.

It is an amenable number.

348181424761 is a deficient number, since it is larger than the sum of its proper divisors (5314438988).

348181424761 is an frugal number, since it uses more digits than its factorization.

348181424761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17748 (or 8874 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

Multiplying 348181424761 by its sum of digits (49), we get a square (17060889813289 = 4130483²).

The spelling of 348181424761 in words is "three hundred forty-eight billion, one hundred eighty-one million, four hundred twenty-four thousand, seven hundred sixty-one".