248788225728 has 168 divisors, whose sum is σ = 816361067808. Its totient is φ = 70961799168.

The previous prime is 248788225709. The next prime is 248788225739. The reversal of 248788225728 is 827522887842.

248788225728 is a `hidden beast` number, since 2 + 487 + 8 + 82 + 2 + 5 + 72 + 8 = 666.

248788225728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×248788225728² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2338950 + ... + 2443002.

Almost surely, 2^248788225728 is an apocalyptic number.

248788225728 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 248788225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408180533904).

248788225728 is an abundant number, since it is smaller than the sum of its proper divisors (567572842080).

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

248788225728 is a wasteful number, since it uses less digits than its factorization.

248788225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104671 (or 104658 counting only the distinct ones).

The product of its digits is 64225280, while the sum is 63.

The spelling of 248788225728 in words is "two hundred forty-eight billion, seven hundred eighty-eight million, two hundred twenty-five thousand, seven hundred twenty-eight".