348075138048 has 352 divisors, whose sum is σ = 1033928236800. Its totient is φ = 103225098240.

The previous prime is 348075137987. The next prime is 348075138077. The reversal of 348075138048 is 840831570843.

It is a tau number, because it is divible by the number of its divisors (352).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367555111 + ... + 367556057.

Almost surely, 2^348075138048 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 348075138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516964118400).

348075138048 is an abundant number, since it is smaller than the sum of its proper divisors (685853098752).

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

348075138048 is a wasteful number, since it uses less digits than its factorization.

348075138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 348075138048 in words is "three hundred forty-eight billion, seventy-five million, one hundred thirty-eight thousand, forty-eight".