248345521920 has 216 divisors, whose sum is σ = 861251345136. Its totient is φ = 66071199744.

The previous prime is 248345521903. The next prime is 248345521951. The reversal of 248345521920 is 29125543842.

248345521920 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 4 + 552 + 1 + 92 + 0 = 666.

248345521920 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 (45).

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 23 ways as a sum of consecutive naturals, for example, 4963267 + ... + 5013053.

It is an arithmetic number, because the mean of its divisors is an integer number (3987274746).

Almost surely, 2^248345521920 is an apocalyptic number.

248345521920 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 248345521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430625672568).

248345521920 is an abundant number, since it is smaller than the sum of its proper divisors (612905823216).

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

248345521920 is a wasteful number, since it uses less digits than its factorization.

248345521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50247 (or 50230 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 248345521920 in words is "two hundred forty-eight billion, three hundred forty-five million, five hundred twenty-one thousand, nine hundred twenty".