248370066806400 has 4608 divisors, whose sum is σ = 1208653241241600. Its totient is φ = 49160466432000.

The previous prime is 248370066806369. The next prime is 248370066806437. The reversal of 248370066806400 is 4608660073842.

248370066806400 is a `hidden beast` number, since 24 + 83 + 7 + 0 + 0 + 66 + 80 + 6 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 493777468549 + ... + 493777469051.

It is an arithmetic number, because the mean of its divisors is an integer number (262294540200).

Almost surely, 2^{248370066806400} is an apocalyptic number.

248370066806400 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 248370066806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604326620620800).

248370066806400 is an abundant number, since it is smaller than the sum of its proper divisors (960283174435200).

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

248370066806400 is a wasteful number, since it uses less digits than its factorization.

248370066806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 248370066806400 in words is "two hundred forty-eight trillion, three hundred seventy billion, sixty-six million, eight hundred six thousand, four hundred".