348512194944 has 512 divisors, whose sum is σ = 1118520576000. Its totient is φ = 106529955840.

The previous prime is 348512194859. The next prime is 348512194969. The reversal of 348512194944 is 449491215843.

348512194944 is a `hidden beast` number, since 3 + 48 + 512 + 1 + 9 + 49 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 208814142 + ... + 208815810.

It is an arithmetic number, because the mean of its divisors is an integer number (2184610500).

Almost surely, 2^348512194944 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 348512194944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559260288000).

348512194944 is an abundant number, since it is smaller than the sum of its proper divisors (770008381056).

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

348512194944 is a wasteful number, since it uses less digits than its factorization.

348512194944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1805 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 348512194944 in words is "three hundred forty-eight billion, five hundred twelve million, one hundred ninety-four thousand, nine hundred forty-four".