348160635648 has 432 divisors, whose sum is σ = 1174055122240. Its totient is φ = 97175863296.

The previous prime is 348160635637. The next prime is 348160635731. The reversal of 348160635648 is 846536061843.

348160635648 is a `hidden beast` number, since 3 + 4 + 8 + 16 + 0 + 63 + 564 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 348160635594 and 348160635603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128329140 + ... + 128331852.

Almost surely, 2^348160635648 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 348160635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587027561120).

348160635648 is an abundant number, since it is smaller than the sum of its proper divisors (825894486592).

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

348160635648 is a wasteful number, since it uses less digits than its factorization.

348160635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 348160635648 in words is "three hundred forty-eight billion, one hundred sixty million, six hundred thirty-five thousand, six hundred forty-eight".