348813307953 has 12 divisors (see below), whose sum is σ = 549645212688. Its totient is φ = 211402004760.

The previous prime is 348813307933. The next prime is 348813307967. The reversal of 348813307953 is 359703318843.

348813307953 is a `hidden beast` number, since 3 + 488 + 13 + 30 + 79 + 53 = 666.

It is not a de Polignac number, because 348813307953 - 2¹³ = 348813299761 is a prime.

It is a super-2 number, since 2×348813307953² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 348813307953.

It is not an unprimeable number, because it can be changed into a prime (348813307933) 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 in 11 ways as a sum of consecutive naturals, for example, 1761683275 + ... + 1761683472.

It is an arithmetic number, because the mean of its divisors is an integer number (45803767724).

Almost surely, 2^348813307953 is an apocalyptic number.

348813307953 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

348813307953 is a deficient number, since it is larger than the sum of its proper divisors (200831904735).

348813307953 is a wasteful number, since it uses less digits than its factorization.

348813307953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523366764 (or 3523366761 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 348813307953 in words is "three hundred forty-eight billion, eight hundred thirteen million, three hundred seven thousand, nine hundred fifty-three".