248256625655808 has 1440 divisors, whose sum is σ = 935807904460800. Its totient is φ = 63658418503680.

The previous prime is 248256625655807. The next prime is 248256625655921. The reversal of 248256625655808 is 808556526652842.

248256625655808 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 5 + 6 + 6 + 2 + 565 + 58 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (248256625655807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29600165791 + ... + 29600174177.

It is an arithmetic number, because the mean of its divisors is an integer number (649866600320).

Almost surely, 2^{248256625655808} is an apocalyptic number.

248256625655808 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 248256625655808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467903952230400).

248256625655808 is an abundant number, since it is smaller than the sum of its proper divisors (687551278804992).

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

248256625655808 is an equidigital number, since it uses as much as digits as its factorization.

248256625655808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 2211840000, while the sum is 72.

The spelling of 248256625655808 in words is "two hundred forty-eight trillion, two hundred fifty-six billion, six hundred twenty-five million, six hundred fifty-five thousand, eight hundred eight".