346229258381253 has 48 divisors (see below), whose sum is σ = 538846432278336. Its totient is φ = 212958311639040.

The previous prime is 346229258381243. The next prime is 346229258381299. The reversal of 346229258381253 is 352183852922643.

346229258381253 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 29 + 2 + 583 + 8 + 1 + 25 + 3 = 666.

It is not a de Polignac number, because 346229258381253 - 2⁴⁸ = 64754281670597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346229258381203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8572769526 + ... + 8572809912.

It is an arithmetic number, because the mean of its divisors is an integer number (11225967339132).

Almost surely, 2^{346229258381253} is an apocalyptic number.

It is an amenable number.

346229258381253 is a deficient number, since it is larger than the sum of its proper divisors (192617173897083).

346229258381253 is a wasteful number, since it uses less digits than its factorization.

346229258381253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74994 (or 74991 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 346229258381253 in words is "three hundred forty-six trillion, two hundred twenty-nine billion, two hundred fifty-eight million, three hundred eighty-one thousand, two hundred fifty-three".