256058365248 has 168 divisors, whose sum is σ = 839751748992. Its totient is φ = 73076032512.

The previous prime is 256058365237. The next prime is 256058365289. The reversal of 256058365248 is 842563850652.

256058365248 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 583 + 6 + 52 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 256058365194 and 256058365203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3540586 + ... + 3612182.

Almost surely, 2^256058365248 is an apocalyptic number.

256058365248 is a gapful number since it is divisible by the number (28) 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 256058365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419875874496).

256058365248 is an abundant number, since it is smaller than the sum of its proper divisors (583693383744).

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

256058365248 is a wasteful number, since it uses less digits than its factorization.

256058365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72509 (or 72496 counting only the distinct ones).

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

The spelling of 256058365248 in words is "two hundred fifty-six billion, fifty-eight million, three hundred sixty-five thousand, two hundred forty-eight".