248100380640 has 288 divisors, whose sum is σ = 967983307200. Its totient is φ = 56685699072.

The previous prime is 248100380639. The next prime is 248100380657. The reversal of 248100380640 is 46083001842.

248100380640 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 0 + 0 + 3 + 8 + 0 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248100380595 and 248100380604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45528636 + ... + 45534084.

It is an arithmetic number, because the mean of its divisors is an integer number (3361053150).

Almost surely, 2^248100380640 is an apocalyptic number.

248100380640 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 248100380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483991653600).

248100380640 is an abundant number, since it is smaller than the sum of its proper divisors (719882926560).

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

248100380640 is a wasteful number, since it uses less digits than its factorization.

248100380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 248100380640 in words is "two hundred forty-eight billion, one hundred million, three hundred eighty thousand, six hundred forty".