348455006856 has 192 divisors, whose sum is σ = 1058330819520. Its totient is φ = 102643407360.

The previous prime is 348455006849. The next prime is 348455006869. The reversal of 348455006856 is 658600554843.

348455006856 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 550 + 0 + 6 + 85 + 6 = 666.

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, 35540851 + ... + 35550653.

It is an arithmetic number, because the mean of its divisors is an integer number (5512139685).

Almost surely, 2^348455006856 is an apocalyptic number.

348455006856 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 348455006856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529165409760).

348455006856 is an abundant number, since it is smaller than the sum of its proper divisors (709875812664).

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

348455006856 is a wasteful number, since it uses less digits than its factorization.

348455006856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 348455006856 in words is "three hundred forty-eight billion, four hundred fifty-five million, six thousand, eight hundred fifty-six".