348493515696 has 160 divisors (see below), whose sum is σ = 1067785228800. Its totient is φ = 108500394240.

The previous prime is 348493515683. The next prime is 348493515751. The reversal of 348493515696 is 696515394843.

348493515696 is a `hidden beast` number, since 3 + 4 + 8 + 493 + 5 + 1 + 56 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283770 + ... + 881766.

It is an arithmetic number, because the mean of its divisors is an integer number (6673657680).

Almost surely, 2^348493515696 is an apocalyptic number.

348493515696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348493515696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533892614400).

348493515696 is an abundant number, since it is smaller than the sum of its proper divisors (719291713104).

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

348493515696 is a wasteful number, since it uses less digits than its factorization.

348493515696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598104 (or 598092 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 348493515696 in words is "three hundred forty-eight billion, four hundred ninety-three million, five hundred fifteen thousand, six hundred ninety-six".