348480006912 has 216 divisors, whose sum is σ = 1077333042240. Its totient is φ = 107942215680.

The previous prime is 348480006907. The next prime is 348480006937. The reversal of 348480006912 is 219600084843.

It is a happy number.

348480006912 is a `hidden beast` number, since 3 + 484 + 80 + 0 + 0 + 6 + 91 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3037962 + ... + 3150582.

Almost surely, 2^348480006912 is an apocalyptic number.

348480006912 is a gapful number since it is divisible by the number (32) 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 348480006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538666521120).

348480006912 is an abundant number, since it is smaller than the sum of its proper divisors (728853035328).

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

348480006912 is a wasteful number, since it uses less digits than its factorization.

348480006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112739 (or 112722 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 348480006912 in words is "three hundred forty-eight billion, four hundred eighty million, six thousand, nine hundred twelve".