348659512960 has 256 divisors, whose sum is σ = 956669978880. Its totient is φ = 120346214400.

The previous prime is 348659512951. The next prime is 348659512987. The reversal of 348659512960 is 69215956843.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 348659512895 and 348659512904.

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 31 ways as a sum of consecutive naturals, for example, 10663357 + ... + 10696003.

It is an arithmetic number, because the mean of its divisors is an integer number (3736992105).

Almost surely, 2^348659512960 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 348659512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478334989440).

348659512960 is an abundant number, since it is smaller than the sum of its proper divisors (608010465920).

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

348659512960 is a wasteful number, since it uses less digits than its factorization.

348659512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32755 (or 32743 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 348659512960 in words is "three hundred forty-eight billion, six hundred fifty-nine million, five hundred twelve thousand, nine hundred sixty".