348896363256 has 192 divisors, whose sum is σ = 1128189600000. Its totient is φ = 99613644480.

The previous prime is 348896363239. The next prime is 348896363261. The reversal of 348896363256 is 652363698843.

348896363256 is a `hidden beast` number, since 3 + 488 + 96 + 3 + 63 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 348896363193 and 348896363202.

It is a congruent number.

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, 15854421 + ... + 15876411.

It is an arithmetic number, because the mean of its divisors is an integer number (5875987500).

Almost surely, 2^348896363256 is an apocalyptic number.

348896363256 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 348896363256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564094800000).

348896363256 is an abundant number, since it is smaller than the sum of its proper divisors (779293236744).

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

348896363256 is a wasteful number, since it uses less digits than its factorization.

348896363256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23519 (or 23502 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 348896363256 in words is "three hundred forty-eight billion, eight hundred ninety-six million, three hundred sixty-three thousand, two hundred fifty-six".