348804668406528 has 288 divisors, whose sum is σ = 1079900947238400. Its totient is φ = 110906450694144.

The previous prime is 348804668406487. The next prime is 348804668406529. The reversal of 348804668406528 is 825604866408843.

348804668406528 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 0 + 466 + 84 + 0 + 65 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (348804668406529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6154501 + ... + 27119867.

It is an arithmetic number, because the mean of its divisors is an integer number (3749656066800).

Almost surely, 2^{348804668406528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348804668406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539950473619200).

348804668406528 is an abundant number, since it is smaller than the sum of its proper divisors (731096278831872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348804668406528 is a wasteful number, since it uses less digits than its factorization.

348804668406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20965504 (or 20965484 counting only the distinct ones).

The product of its (nonzero) digits is 1698693120, while the sum is 72.

The spelling of 348804668406528 in words is "three hundred forty-eight trillion, eight hundred four billion, six hundred sixty-eight million, four hundred six thousand, five hundred twenty-eight".