348002299497888 has 288 divisors, whose sum is σ = 1133739050476032. Its totient is φ = 99189196185600.

The previous prime is 348002299497857. The next prime is 348002299497907. The reversal of 348002299497888 is 888794992200843.

348002299497888 is a `hidden beast` number, since 3 + 48 + 0 + 0 + 2 + 2 + 9 + 9 + 497 + 8 + 88 = 666.

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

It is a super-2 number, since 2×348002299497888² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3971179833 + ... + 3971267463.

It is an arithmetic number, because the mean of its divisors is an integer number (3936593925264).

Almost surely, 2^{348002299497888} 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 348002299497888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566869525238016).

348002299497888 is an abundant number, since it is smaller than the sum of its proper divisors (785736750978144).

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

348002299497888 is a wasteful number, since it uses less digits than its factorization.

348002299497888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92388 (or 92377 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 348002299497888 in words is "three hundred forty-eight trillion, two billion, two hundred ninety-nine million, four hundred ninety-seven thousand, eight hundred eighty-eight".