248278358016 has 288 divisors, whose sum is σ = 775721681280. Its totient is φ = 76048367616.

The previous prime is 248278358011. The next prime is 248278358033. The reversal of 248278358016 is 610853872842.

248278358016 is a `hidden beast` number, since 2 + 4 + 8 + 278 + 358 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248278358011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55828305 + ... + 55832751.

It is an arithmetic number, because the mean of its divisors is an integer number (2693478060).

Almost surely, 2^248278358016 is an apocalyptic number.

248278358016 is a gapful number since it is divisible by the number (26) 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 248278358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387860840640).

248278358016 is an abundant number, since it is smaller than the sum of its proper divisors (527443323264).

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

248278358016 is a wasteful number, since it uses less digits than its factorization.

248278358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 248278358016 in words is "two hundred forty-eight billion, two hundred seventy-eight million, three hundred fifty-eight thousand, sixteen".