348753265056 has 72 divisors (see below), whose sum is σ = 1133448117984. Its totient is φ = 99643789440.

The previous prime is 348753265043. The next prime is 348753265067. The reversal of 348753265056 is 650562357843.

348753265056 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 532 + 6 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 348753264993 and 348753265011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86494330 + ... + 86498361.

It is an arithmetic number, because the mean of its divisors is an integer number (15742334972).

Almost surely, 2^348753265056 is an apocalyptic number.

348753265056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348753265056 is an abundant number, since it is smaller than the sum of its proper divisors (784694852928).

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

348753265056 is a wasteful number, since it uses less digits than its factorization.

348753265056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172992714 (or 172992703 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 348753265056 in words is "three hundred forty-eight billion, seven hundred fifty-three million, two hundred sixty-five thousand, fifty-six".