248396056920 has 768 divisors, whose sum is σ = 1009673164800. Its totient is φ = 53676380160.

The previous prime is 248396056919. The next prime is 248396056957. The reversal of 248396056920 is 29650693842.

It is a happy number.

248396056920 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 9 + 605 + 6 + 9 + 20 = 666.

248396056920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72905857 + ... + 72909263.

It is an arithmetic number, because the mean of its divisors is an integer number (1314678600).

Almost surely, 2^248396056920 is an apocalyptic number.

248396056920 is a gapful number since it is divisible by the number (20) 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 248396056920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504836582400).

248396056920 is an abundant number, since it is smaller than the sum of its proper divisors (761277107880).

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

248396056920 is a wasteful number, since it uses less digits than its factorization.

248396056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 248396056920 in words is "two hundred forty-eight billion, three hundred ninety-six million, fifty-six thousand, nine hundred twenty".